Get documents about "CORRELATION of
W
Description
10Th Grade Mathematical Worksheets document sample
Document Sample
CORRELATION
of
the Understanding Numeration PLUS & Understanding Math PLUS programs
with
New York State Math Core Curriculum Standards
Grade Seven
November 2007
Note: a. The Understanding Math PLUS series of programs consist of 10 programs written for Kindergarten to 10th Grade.
The 10 programs are:
Understanding Fractions Understanding Whole Numbers and Integers
Understanding Probability Understanding Percent
Understanding Exponents Understanding Equations
Understanding Algebra Understanding Graphing
Understanding Numeration
Understanding Measurement and Geometry
Note: b. The Understanding Numeration software for K to 3 is set up so that the teacher selects items in the following order:
Concept .. from 5 concepts .. Counting, Comparing & Ordering, Place Value, Operations and Problem Solving.
Skill .. chosen from the list of specific learning expectations
Level .. indicates the levels of development for Kindergarten to 3rd grade.
Level Upper Range of Number
A 10
B 20
C 100
D 1000
Lesson .. 250 lessons are sequenced to build understanding of concepts.
A detailed Lesson Synopsis on the website www.neufeldmath.com to assist the teacher by stating the lesson contents but also by giving lesson suggestions.
Worksheet .. off computer worksheets are selected from the CD by a code.
Note: c. The remaining 9 Understanding Math programs for 4th to 10th grade are set up so that they can be used in a variety of teaching and learning environments
ranging from a teacher centered approach with 1 computer to a student centered lab approach. The lessons can also be used in remediation, tutorial, intervention,
resource, fast-tracking.
Each topic has:
..an interactive concept introduction, usually with a variety of graphic approaches.
..a number of particular examples
..practice questions with random questions but particular feedback
..a topic test with random questions and tracking
..off computer worksheets selected from the website .. www.neufeldmath.com
Neufeld Learning Systems Inc. November 2007 1
Source: Mathematics Core Curriculum MST Standard 3
Problem Solving Strand
Students will build new mathematical knowledge through problem solving.
Students will solve problems that arise in mathematics and in other contexts.
Students will apply and adapt a variety of appropriate strategies to solve problems.
Students will monitor and reflect on the process of mathematical problem solving.
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.PS.1 Use a variety of strategies to understand new
mathematical content and to develop more efficient methods
7.PS.2 Construct appropriate extensions to problem situations
7.PS.3 Understand and demonstrate how written symbols Understanding Algebra
represent mathematical ideas Topic 4. Patterns, Formulas, Substitution
Expressions, Terms, Variables
Definitions
Summary
Patterns to Formulas
Example... Hockey Standings
Example... Counting Money
Example... Angles in a Polygon
7.PS.4 Observe patterns and formulate generalizations
7.PS.5 Make conjectures from generalizations
7.PS.6 Representproblem situations verbally, numerically, Understanding Algebra
algebraically, and graphically Topic 4. Patterns, Formulas, Substitution
Expressions, Terms, Variables
Definitions
Summary
Patterns to Formulas
Example... Hockey Standings
Example... Counting Money
Example... Angles in a Polygon
7.PS.7 Understand that there is no one right way to solve
mathematical problems but that different methods haveadvantages and
disadvantages
Neufeld Learning Systems Inc. November 2007 2
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.PS.8 Understand how to break a complex problem into simpler
parts or use a similar problem type to solve a problem
7.PS.9 Work backwards from a solution
7.PS.10 Use proportionality to model problems Understanding Percent
Topic 4. Ratios and Proportions
What is a Proportion?
Proportions
Example 1
Example 2 – Lemonade
Example 3 – Marbles
Example 4 – Trout
7.PS.11 Work in collaboration with others to solve problems
7.PS.12 Interpret solutions within the given constraints of a
problem
7.PS.13 Set expectations and limits for possible solutions
7.PS.14 Determine information required to solve the problem
7.PS.15 Choose methods for obtaining required information
7.PS.16 Justify solution methods through logical argument
7.PS.17 Evaluate the efficiency of different representations of a problem
Neufeld Learning Systems Inc. November 2007 3
Source: Mathematics Core Curriculum MST Standard 3
Reasoning and Proof Strand
Students will recognize reasoning and proof as fundamental aspects of mathematics.
Students will make and investigate mathematical conjectures.
Students will develop and evaluate mathematical arguments and proofs.
Students will select and use various types of reasoning and methods of proof.
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.RP.1 Recognize that mathematical ideas can be supported by a variety
of strategies
Understanding Math PLUS
7.RP.2 Use mathematical strategies to reach a conclusion All Sections
7.RP.3 Evaluate conjectures by distinguishing relevant from
irrelevant information to reach a conclusion or make appropriate estimates
7.RP.4 Provide supportive arguments for conjectures
7.RP.5 Develop, verify, and explain an argument, using Understanding Math PLUS
appropriate mathematical ideas and language All Sections
7.RP.6 Support an argument by using a systematic approach to
test more than one case
7.RP.7 Devise ways to verify results or use counterexamples to refute incorrect
statements
7.RP.8 Apply inductive reasoning in making and supporting
mathematical conjectures
Neufeld Learning Systems Inc. November 2007 4
Source: Mathematics Core Curriculum MST Standard 3
Communication Strand
Students will organize and consolidate their mathematical thinking through communication.
Students will communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
Students will use the language of mathematics to express mathematical ideas precisely.
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.CM.1 Provide a correct, complete, coherent, and clear rationale for
thought process used in problem solving
7.CM.2 Provide an organized argument which explains rationale for
strategy selection
7.CM.3 Organize and accurately label work
7.CM.4 Share organized mathematical ideas through the manipulation of Understanding Math PLUS
objects, numerical tables, drawings, pictures, charts, graphs, All Sections
tables, diagrams, models and symbols in written and verbal form
7.CM.5 Answer clarifying questions from others
7.CM.6 Analyze mathematical solutions shared by others
7.CM.7 Compare strategies used and solutions found by others in relation
to their own work
7.CM.8 Formulate mathematical questions that elicit, extend, or challenge
strategies, solutions, and/or conjectures of others
7.CM.9 Increase their use of mathematical vocabulary and language when Understanding Math PLUS
communicating with others All Sections
7.CM.10 Use appropriate language, representations, and terminology
when describing objects, relationships, mathematical solutions, and
rationale
7.CM.11 Draw conclusions about mathematical ideas through decoding,
comprehension, and interpretation of mathematical visuals,symbols, and
technical writing
Neufeld Learning Systems Inc. November 2007 5
Source: Mathematics Core Curriculum MST Standard 3
Connections Strand
Students will recognize and use connections among mathematical ideas.
Students will understand how mathematical ideas interconnect and build on one another to produce a coherent whole.
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.CN.1 Understand and make connections among multiple representations
of the same mathematical idea
7.CN.2 Recognize connections between subsets of mathematical ideas
7.CN.3 Connect and apply a variety of strategies to solve problems Understanding Math PLUS
All Sections
7.CN.4 Model situations mathematically, using representations to draw
conclusions and formulate new situations
7.CN.5 Understand how concepts, procedures, and mathematical results Understanding Math PLUS
in one area of mathematics can be used to solve problems in other All Sections
areas of mathematics
7.CN.6 Recognize and provide examples of the presence of mathematics
in their daily lives
7.CN.7 Apply mathematical ideas to problem situations that develop
outside of mathematics
7.CN.8 Investigate the presence of mathematics in careers and areas of
interest
7.CN.9 Recognize and apply mathematics to other disciplines, areas of
interest, and societal issues
Neufeld Learning Systems Inc. November 2007 6
Source: Mathematics Core Curriculum MST Standard 3
Representation Strand
Students will create and use representations to organize, record, and communicate mathematical ideas
Students will select, apply, and translate among mathematical representations to solve problems.
Students will use representations to model and interpret physical, social, and mathematical phenomena.
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.R.1 Use physical objects, drawings, charts, tables, graphs, symbols, Understanding Math PLUS
equations, or objects created using technology as representations Understanding Algebra
Understanding Equations
Understanding Graphing
ALL SECTIONS
7.R.2 Explain, describe, and defend mathematical ideas using
representation
7.R.3 Recognize, compare, and use an array of representational forms
7.R.4 Explain how different representations express the same relationship
7.R.5 Use standard and non-standard representations with accuracy and
detail
7.R.6 Use representations to explore problem situations
7.R.7 Investigate relationships between different representations and
their impact on a given problem
7.R.8 Use representation as a tool for exploring and understanding
mathematical ideas
7.R.9 Use mathematics to show and understand physical phenomena Understanding Fractions
(e.g., make and interpret scale drawings of figures or scale models of objects) Topic 7. Ratios and Proportions
What is a Proportion?
Proportions
Example 1
Example 2 - Lemonade
Example 3 - Marbles
Example 4 - Scale Drawing
7.R.10 Use mathematics to show and understand social phenomena
(e.g., determine profit from sale of yearbooks)
7.R.11 Use mathematics to show and understand mathematical phenomena Understanding Algebra
(e.g., use tables, graphs, and equations to show a pattern underlying a Topic 1. Introduction to Algebraic Thinking
function) Function Machine
Introduction
Find Output
Find Input
Find The Rule
Rules 1, 2, 3, 4
Neufeld Learning Systems Inc. November 2007 7
Source: Mathematics Core Curriculum MST Standard 3
Number Sense and Operations Strand
Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems.
Students will understand meanings of operations and procedures, and how they relate to one another.
Students will compute accurately and make reasonable estimates.
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.N.1 Distinguish between the various subsets of real numbers Understanding Whole Numbers and Integers
(counting/natural numbers, whole numbers, integers, rational numbers, and Topic 4. The Meaning of Integers
irrational numbers) The Integer Line
Opposite Integers
Examples 1, 2
Absolute Values
Examples 1, 2
Comparing Integers
Examples 1, 2, 3, 4
Example Questions
Examples 1, 2, 3, 4, 5, 6
Practice Questions
7.N.2 Recognize the difference between rational and irrational numbers (e.g., Understanding Measurement and Geometry
explore different approximations of π ) Topic 3. The Circle
PI... A Special Number
Introduction
How do we Measure Circumference?
€ Measuring Circles
Summary
7.N.3 Place rational and irrational numbers (approximations) on a number line
and justify the placement of the numbers
7.N.4 Develop the laws of exponents for multiplication and division Understanding Exponents
Topic 3. The Exponent Rules
Multiplication of Powers with the Same Base
Expanding the Exponents
The Pattern
In General
Division of Powers with the Same Base
Expanding the Exponents
The Pattern
In General
Neufeld Learning Systems Inc. November 2007 8
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.N.5 Write numbers in scientific notation Understanding Exponents
Topic 4. Scientific Notation
7.N.6 Translate numbers from scientific notation into standard form Why Use Scientific Notation?
Scientific Notation for Large Numbers
7.N.7 Compare numbers written in scientific notation Introduction
Chart
The Rule
The Steps
Scientific Notation for Small Numbers
Introduction
Chart
The Steps
Examples
1. Number Question
2. Park Question
3. Sun Question
4. Kitchen Question
Practice Questions
7.N.8 Find the common factors and greatest common factor of two or Understanding Fractions
more numbers Topic 3. Equivalent Fractions
Greatest Common Factor
12 and 18
30 and 40
70 and 42
7.N.9 Determine multiples and least common multiple of two or more numbers
7.N.10 Determine the prime factorization of a given number and write in
exponential form
7.N.11 Simplify expressions using order of operations Note: Expressions Understanding Whole Numbers and Integers
may include absolute value and/or integral exponents greater than 0. Topic 9. Order of Operations
Why use Order of Operations?
BEDMAS
Example Questions
Examples 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Word Problems
Shipping
Babysitting
Garbage
Practice Questions
Neufeld Learning Systems Inc. November 2007 9
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.N.12 Add, subtract, multiply, and divide integers Understanding Whole Numbers and Integers
Topic 5. Adding Integers
7.N.13 Add and subtract two integers (with and without the use of a number line) In This Topic
Elevators... An Introduction to Addition
Examples 1, 2, 3, 4
Summary... Using Elevators
Markers... An Introduction to Addition
Opposites
Examples 1, 2, 3, 4
Going for a Walk... An Introduction to Addition
Examples 1, 2, 3
Number Line... An Introduction to Addition
Examples 1, 2, 3
Summary... Using a Number Line
Topic 6. Subtracting Integers
In This Topic
Markers... An Introduction to Subtraction
Markers Help Us Understand
Review Opposites
Examples 1, 2, 3, 4, 5, 6, 7, 8
The Pattern
Elevators... An Introduction to Subtraction
Examples 1, 2, 3, 4
Summary... Using Elevators
Summary... Add the Opposite
Example Questions
Example 1 – With Brackets
Example 2 – With Brackets
Example 3 – Meaning of... 2 – 5
Example 4 – Meaning of... -7 – 3
Example 5 – Meaning of... -7 + 9 – 18
Example 6 – Meaning of... -4 – 9 + 2 – 8
Neufeld Learning Systems Inc. November 2007 10
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
Understanding Whole Numbers and Integers
Topic 7. Multiplying Integers
Multiplication Is...
Examples 1, 2
The Multiplication Table
Instructions
Patterns
Practice 1, 2
Order in Multiplication
The Multiplication Table
Examples 1, 2, 3
Summary #1... Signs
Topic 8. Dividing Integers
Division to Multiplication
The Division Table
Instructions
Patterns
Practice
The Inverse of Multiplication
Examples 1, 2
Summary #1... Signs
Summary #2... Signs
Example Questions
Examples 1, 2, 3, 4
7.N.14 Develop a conceptual understanding of negative and zero exponents with Understanding Exponents
-2
a base of ten and relate to fractions and decimals (e.g., 10 = .01 = Topic 3. The Exponent Rules
1/100) A Power with Exponent 0
Explanation with b; Explanation with a
Summary
A Power with a NEGATIVE Exponent
Method 1: Explanation with b
Method 2: Explanation with k
Method 3: Bacteria Doubling
Summary
Neufeld Learning Systems Inc. November 2007 11
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.N.15 Recognize and state the value of the square root of a perfect square (up Understanding Exponents
to 225) Topic 5. Square Roots
Squaring Numbers
7.N.16 Determine the square root of non-perfect squares using a calculator Square Roots
Radical Signs
Square Roots of Negative Numbers
Example Questions
1. Radicals First
2. The Four Equations
3. Lawn Question
4. Make a Square
Practice Questions
7.N.17 Classify irrational numbers as non-repeating/non-terminating decimals
7.N.18 Identify the two consecutive whole numbers between which the
square root of a non-perfect square whole number less than 225 lies
(with and without the use of a number line)
7.N.19 Justify the reasonableness of answers using estimation
Neufeld Learning Systems Inc. November 2007 12
Source: Mathematics Core Curriculum MST Standard 3
Algebra Strand
Students will represent and analyze algebraically a wide variety of problem solving situations.
Students will perform algebraic procedures accurately.
Students will recognize, use, and represent algebraically patterns, relations, and functions.
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.A.1 Translate two-step verbal expressions into algebraic expressions Understanding Algebra
Topic 4. Patterns, Formulas, Substitution
Expressions, Terms, Variables
Definitions
Summary
Patterns to Formulas
Example... Hockey Standings
Example... Counting Money
Example... Angles in a Polygon
Substitution is... Math Scrabble
Scrabble 1, 2, 3
Challenge
Substitution Examples
Examples 1, 2, 3, 4
Practice Questions
7.A.2 Add and subtract monomials with exponents of one Understanding Algebra
Topic 5. Adding Expressions
7.A.3 Identify a polynomial as an algebraic expression containing one or more Our Problem
terms Adding Expressions with X and Y Tiles
Examples 1, 2, 3
Adding Expressions with X-Squared Tiles
Examples 1, 2, 3
Adding Expressions without Tiles
Examples 1, 2
Practice Questions with Tiles
Practice Questions without Tiles
Topic Test
Neufeld Learning Systems Inc. November 2007 13
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
Understanding Algebra
Topic 6. Subtracting Expressions
Our Problem
Subtracting Expressions with X and Y Tiles
Concept
Examples 1, 2
Subtracting Expressions with X-Squared Tiles
Examples 1, 2
Subtracting Expressions without Tiles
Practice Questions with Tiles
Practice Questions without Tiles
7.A.4 Solve multi-step equations by combining like terms, using the Understanding Equations
distributive property, or moving variables to one side of the equation Topic 4. Solving Multi-Step Equations
Our Problem
Concepts – Examples with Tiles
Concepts – Examples without Tiles
Examples 1, 2, 3, 4, 5
Summary
Literal Equations
What Are They?
How do you solve them?
Why Solve the Literal Equations?
A Perimeter Example
A Temperature Example
7.A.5 Solve one-step inequalities (positive coefficients only) (See 7.G.10) Understanding Equations
Topic 7. Solving Inequalities
Comparing Integers
The Integer Line
Example 1... Greater Than; Example 2... Less Than
Explanation
Example 3... Greater Than; Example 4... Less Than
Greater Than or Less Than
Inequalities
What Are They?
Inequality vs. Equation
Summary of Relationships
Inequality on the Number Line
Examples 1, 2, 3, 4
Solving Inequalities
Examples 1, 2, 3, 4, 5, 6
Neufeld Learning Systems Inc. November 2007 14
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.A.6 Evaluate formulas for given input values (surface area, rate, and density Understanding Measurement and Geometry
problems) Topic 3. Solids…Volume and Surface Area
Surface Area of a Solid
The Concept
Surface Area of a Pyramid
7.A.7 Draw the graphic representation of a pattern from an equation Understanding Graphing
or from a table of data Topic 5. Relations, Equations, Functions
Relations
7.A.10 Write an equation to represent a function from a table of values What is a Relation?
Domain and Range
Example 1 – Triangles
Example 2 – Tiles, Part 1
Example 3 – Tiles, Part 2
Example 4 – Running
Example 5 – Hit the Ball
Functions
What is a Function? – Examples 1, 2, 3
Vertical Line Test
Examples 1, 2, 3
Function Notation
Examples 1, 2
Patterns to Words to Equations
Examples 1, 2, 3, 4
7.A.8 Create algebraic patterns using charts/tables, graphs, equations, and Understanding Algebra
expressions Topic 3. Patterns, Patterns, Patterns
Patterns to Formulas
Examples 1, 2, 3
Factor Pairs in Arrays
Factors of 8, 12, 16, 20, 5, 15, 18
Prime and Composite
Prime Numbers
Composite Numbers
Common Factors/GCF
Examples 1, 2
Patterns in the Multiplication Table
Sieve of Eratosthenes
Patterns With 9
Practice Questions
Neufeld Learning Systems Inc. November 2007 15
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
Understanding Algebra
Topic 4. Patterns, Formulas, Substitution
Patterns to Formulas
Examples 1, 2, 3
Factor Pairs in Arrays
Factors of 8, 12, 16, 20, 5, 15, 18
Prime and Composite
Prime Numbers
Composite Numbers
Common Factors/GCF
Examples 1, 2
Patterns in the Multiplication Table
Sieve of Eratosthenes
Patterns With 9
Practice Questions
Expressions, Terms, Variables
Definitions
Summary
Patterns to Formulas
Example... Hockey Standings
Example... Counting Money
Example... Angles in a Polygon
7.A.9 Build a pattern to develop a rule for determining the sum of the interior Understanding Measurement and Geometry
angles of polygons Topic 6. Angles and Polygons
Angles in Polygons
Methods 1, 2
Exterior Angles in a Polygon
Neufeld Learning Systems Inc. November 2007 16
Source: Mathematics Core Curriculum MST Standard 3
Geometry Strand
Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes.
Students will identify and justify geometric relationships, formally and informally.
Students will apply coordinate geometry to analyze problem solving situations.
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.G.1 Calculate the radius or diameter, given the circumference or area of Understanding Measurement and Geometry
a circle Topic 3. The Circle
Circumference of a Circle
Circumference
Example 1 – Egg
Example 2 – The Well
Example 3 – The Rolling Coin
Example 4 – The Semi-Circle
Area of a Circle
Recall Area
Area Exploration #1
Area Exploration #2
Example 1 – Wheel
Example 2 – Pizza
Example 3 – The Semi-Circle
Example 4 – The Dog’s Run
Example 5 – The Hockey Rink
Practice Questions
7.G.2 Calculate the volume of prisms and cylinders, using a given formula and Understanding Measurement and Geometry
a calculator Topic 4. Solids…Volume and Surface Area
Volume of a Solid
The Concept
Volume of a Prism: Examples 1, 2
Volume of a Cylinder
7.G.3 Identify the two-dimensional shapes that make up the faces and bases of Understanding Measurement and Geometry
three-dimensional shapes (prisms, cylinders, cones, and pyramids) Topic 2. Perimeter and Area of Polygons
Polygons... What Are They?
Concept
A Triangle is
A Quadrilateral is
A Pentagon is
A Hexagon is
An Octagon is
Classify Polygons
Neufeld Learning Systems Inc. November 2007 17
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.G.4 Determine the surface area of prisms and cylinders, using a calculator Understanding Measurement and Geometry
and a variety of methods Topic 4. Solids…Volume and Surface Area
Surface Area of a Solid
The Concept
Surface Area of a Pyramid
Surface Area of a Cylinder
7.G.5 Identify the right angle, hypotenuse, and legs of a right triangle Understanding Exponents
Topic 6. Pythagorean Theorem
In This Topic
The Right Triangle
Math or Magic?
Introduction
Omar’s Rope Trick #1, #2
Our Rope Trick
Squares on a Grid
Examples 1, 2, 3, 4
Squares on the Sides of a Right Triangle
Triangles 1, 2, 3
7.G.6 Explore the relationship between the lengths of the three sides of a right Understanding Exponents
triangle to develop the Pythagorean Theorem Topic 6. Pythagorean Theorem
The Pythagorean Theorem
7.G.9 Determine whether a given triangle is a right triangle by applying the The Pattern
Pythagorean Theorem and using a calculator In General
Theorem
Example Questions
Example 1... Pole Example
Example 2... Tower Example
Example 3... Walking Example
Example 4... Lake Example
Example 5... Geometric Example
7.G.7 Find a missing angle when given angles of a quadrilateral Understanding Measurement and Geometry
Topic 6. Angles and Polygons
Angles in Polygons
Methods 1, 2
Exterior Angles in a Polygon
7.G.8 Use the Pythagorean Theorem to determine the unknown length of a side Understanding Exponents
of a right triangle Topic 6. Pythagorean Theorem
Practice Questions
Neufeld Learning Systems Inc. November 2007 18
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.G.10 Graph the solution set of an inequality (positive coefficients Understanding Equations
only) on a number line (See 7.A.5) Topic 7. Solving Inequalities
Graphing Linear Inequalities in Two Variables
Concepts 1, 2
Examples 1, 2, 3
Solving Systems of Linear Inequalities by Graphing
Examples 1, 2
Measurement Strand
Students will determine what can be measured and how, using appropriate methods and formulas.
Students will develop strategies for estimating measurements.
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.M.1 Calculate distance using a map scale
7.M.2 Convert capacities and volumes within a given system Understanding Measurement and Geometry
Topic 3. Solids…Volume and Surface Area
Volume of a Solid
The Concept
Volume of a Prism: Examples 1, 2
Volume of a Cylinder
7.M.3 Identify customary and metric units of mass Understanding Measurement and Geometry
Topic 1. An Introduction to Measurement
Metric and U.S.A Standard Measurement Systems
Searching for the Standard Unit
Related Units from Metric Prefixes
Metric Prefixes at Work
Converting Between Metric Units
The Ruler
7.M.4 Convert mass within a given system
Neufeld Learning Systems Inc. November 2007 19
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.M.5 Calculate unit price using proportions Understanding Percent
Topic 4. Ratios and Proportions
What is a Proportion?
Proportions
Example 1
Example 2 – Lemonade
Example 3 – Marbles
Example 4 – Trout
Example 5 – Tree Height
Example 6 – Map
Example 7 – Scale Drawing
7.M.6 Compare unit prices
7.M.7 Convert money between different currencies with the use of an exchange
rate table and a calculator
7.M.8 Draw central angles in a given circle using a protractor (circle Understanding Graphing
graphs) Topic 2. Statistics
Circle or Pie Graphs
Example 1... Radio Station
Example 2... Health Survey
7.M.9 Determine the tool and technique to measure with an appropriate
level of precision: mass
7.M.10 Identify the relationships between relative error and magnitude
when dealing with large numbers (e.g., money, population)
7.M.11 Estimate surface area Understanding Measurement and Geometry
Topic 4. Solids…Volume and Surface Area
Surface Area of a Solid
The Concept
Surface Area of a Pyramid
Surface Area of a Cylinder
Neufeld Learning Systems Inc. November 2007 20
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.M.12 Determine personal references for customary /metric units of mass Understanding Measurement and Geometry
Topic 1. Introduction to Measurement
Benchmarks
Establishing Benchmarks
Meter Benchmarks
Foot Benchmarks
Centimeter Benchmarks
Inch Benchmarks
Yard Benchmarks
Our Benchmarks
Using Benchmarks
Converting Between Metric Units
7.M.13 Justify the reasonableness of the mass of an object
Neufeld Learning Systems Inc. November 2007 21
Source: Mathematics Core Curriculum MST Standard 3
Statistics and Probability Strand
Students will collect, organize, display, and analyze data.
Students will make predictions that are based upon data analysis.
Students will understand and apply concepts of probability.
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.S.1 Identify and collect data using a variety of methods Understanding Graphing
Topic 2. Statistics
Data... What is it?
Examples of Data
Example 1... Fast Food Earnings
Example 2... Infant’s Walk
Example 3... Canada and U.S.A. Forecast
Example 4... King of the Strike Out
Example 5... U.S.A. Stake in India
Example 6... Allergy Troubles
A Summary: Examples
Statistics... What is it?
Collecting Data
Throw a Die
Throw 2 Dice
Voting
Primary Data - Gathering Methods
Secondary Data - Gathering Methods
7.S.2 Display data in a circle graph Understanding Graphing
Topic 2. Statistics
Circle or Pie Graphs
Example 1... Radio Station
Example 2... Health Survey
7.S.3 Convert raw data into double bar graphs and double line graphs Understanding Graphing
Topic 2. Statistics
Bar Graph
Example 1... Energy
Example 2... Lengths of Rivers
Line Graph
Example 1... Life Expectancy
Example 2... Software Profits
7.S.4 Calculate the range for a given set of data
Neufeld Learning Systems Inc. November 2007 22
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.S.5 Select the appropriate measure of central tendency Understanding Graphing
Topic 2. Statistics
Measures of Central Tendency
Introduction
The Mean Average
The Median average
The Mode
Summary
Another Example
Adding Data Points
7.S.6 Read and interpret data represented graphically (pictograph, bar graph, Understanding Graphing
histogram, line graph, double line/bar graphs or circle graph) Topic 2. Statistics
Bar Graph
Example 1... Energy
Example 2... Lengths of Rivers
Histogram
Example 1... Heights of Students
Example 2... Roll a Die
Line Graph
Example 1... Life Expectancy
Example 2... Software Profits
Circle or Pie Graphs
Example 1... Radio Station
Example 2... Health Survey
7.S.8 Interpret data to provide the basis for predictions and to establish Understanding Probability
experimental probabilities Topic 1. Introduction to Probability
Possible Outcomes... Examples
What are they?
1. Coin
2. Picking One Ball
3. Picking Two Balls
4. Eye Test
5. Coin and Die
6. Travel
7. Rabbits
8. Forest
Neufeld Learning Systems Inc. November 2007 23
Source: Mathematics Core Curriculum MST Standard 3
Strand Neufeld Learning Systems Inc.
Understanding Math PLUS
Lessons
7.S.9 Determine the validity of sampling methods to predict outcomes Understanding Probability
Topic 2. What’s the Chance?
Experiments with Spinners
Experiments 1
Experiments 2
Experiments 3
Experiments 4
Experiments 5
Experiments 6
The Spinner Game
Board 1
Board 2
IT’s in the Bag
7.S.10 Predict the outcome of an experiment Understanding Probability
Topic 2. What’s the Chance?
Probability
What is it?
Introduction 1
Introduction 2
Probability Examples
1. Coin Toss
2. Picking One Ball
3. Picking Two Balls
4. Travel Example
5. Number Example
6. Rabbit Example
7. Mailing Letters
8. Forest
9. Ahmed’s Maze
7.S.11 Design and conduct an experiment to test predictions Understanding Probability
Topic 2. What’s the Chance?
The Probability Scale
Examples
Summary
Follow Up
Soccer Example
Experimental Probability
Introduction
Examples 1, 2
7.S.12 Compare actual results to predicted results
Neufeld Learning Systems Inc. November 2007 24
Source: Mathematics Core Curriculum MST Standard 3
Neufeld Learning Systems Inc. November 2007 25
Source: Mathematics Core Curriculum MST Standard 3
Related docs
