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Regina Public Schools Unit Comparison for Grade 7/8 Math Makes Sense Grade 7 – Unit 1: Patterning Grade 8 – Unit 1: Square Roots and the Pythagorean Theorem Lesson 1.1 Patterns in Division Lesson 1.1 Square Numbers and Area Models Lesson 1.2 More Patterns in Division Lesson 1.2 Squares and Square Roots Lesson 1.3 Algebraic Expressions Lesson 1.3 Measuring Line Segments Lesson 1.4 Relationships in Patterns Lesson 1.4 Estimating Square Roots Lesson 1.5 Patterns and Relationships Lesson 1.5 The Pythagorean Theorem in Tables Lesson 1.6 Graphing Relations Lesson 1.6 Exploring the Pythagorean Theorem Lesson 1.7 Reading and Writing Lesson 1.7 Applying the Pythagorean Theorem Equations Lesson 1.8 Solving Equations Using Algebra Tiles Grade 7 – Unit 2: Integers Grade 8 - Unit 2: Integers Lesson 2.1 Representing Integers Lesson 2.1 Using Models to Multiply Integers Lesson 2.2 Adding Integers with Lesson 2.2 Developing Rules to Multiply Tiles Integers Lesson 2.3 Adding Integers on a Lesson 2.3 Using Models to Divide Integers Number Line Lesson 2.4 Subtracting Integers with Lesson 2.4 Developing Rules to Divide Integers Tiles Lesson 2.5 Subtracting Integers on a Lesson 2.5 Order of Operations with Integers Number Line Grade 7 – Unit 3: Fractions, Grade 8 – Unit 3: Operations with Fractions Decimals, and Percents Lesson 3.1 Fractions to Decimals Lesson 3.1 Using Models to Multiply Fractions and Whole Numbers Lesson 3.2 Comparing and Ordering Lesson 3.2 Using Models to Multiply Fractions Fractions and Decimals Lesson 3.3 Adding and Subtracting Lesson 3.3 Multiplying Fractions Decimals Lesson 3.4 Multiplying Decimals Lesson 3.4 Multiplying Mixed Numbers Lesson 3.5 Dividing Decimals Lesson 3.5 Dividing Whole Numbers and Fractions Lesson 3.6 Order of Operations with Lesson 3.6 Dividing Fractions Decimals Lesson 3.7 Relating Fractions, Lesson 3.7 Dividing Mixed Numbers Decimals and Percents Lesson 3.8 Solving Percent Problems Lesson 3.8 Solving Problems with Fractions Lesson 3.9 Order of Operations with Fractions Grade 7 – Unit 4: Circles and Area Grade 8 – Unit 4: Measuring Prisms and Cylinders Lesson 4.1 Investigating Circles Lesson 4.1 Exploring Nets Lesson 4.2 Circumference of a Circle Lesson 4.2 Creating Objects from Nets Lesson 4.3 Area of a Parallelogram Lesson 4.3 Surface Area of a Right Rectangular Prism Lesson 4.4 Area of a Triangle Lesson 4.4 Surface Area of a Right Triangular Prism Lesson 4.5 Area of a Circle Lesson 4.5 Volume of a Right Rectangular Prism Lesson 4.6 Interpreting Circle Graphs Lesson 4.6 Volume of a Right Triangular Prism Lesson 4.7 Drawing Circle Graphs Lesson 4.7 Surface Area of a Right Cylinder Lesson 4.8 Volume of a Right Cylinder Grade 7 – Unit 5: Operations with Grade 8 – Unit 5: Percent, Ratio, and Rate Fractions Lesson 5.1 Using Models to Add Lesson 5.1 Relating Fractions, Decimals, and Fractions Percents Lesson 5.2 Using Other Models to Lesson 5.2 Calculating Percents Add Fractions Lesson 5.3 Using Symbols to Add Lesson 5.3 Solving Percent Problems Fractions Lesson 5.4 Using Models to Subtract Lesson 5.4 Sales Tax and Discount Fractions Lesson 5.5 Using Symbols to Lesson 5.5 Exploring Ratios Subtract Fractions Lesson 5.6 Adding with Mixed Lesson 5.6 Equivalent Ratios Numbers Lesson 5.7 Subtracting with Mixed Lesson 5.7 Comparing Ratios Numbers Lesson 5.8 Solving Ratio Problems Lesson 5.9 Exploring Rates Lesson 5.10 Comparing Rates Grade 7 – Unit 6: Equations Grade 8 – Unit 6: Linear Equations and Graphing Lesson 6.1 Solving Equations Lesson 6.1 Solving Equations Using Models Lesson 6.2 Using a Model to Solve Lesson 6.2 Solving Equations Using Algebra Equations Lesson 6.3 Solving Equations Lesson 6.3 Solving Equations Involving involving Integers Fractions Lesson 6.4 Solving Equations Using Lesson 6.4 The Distributive Property Algebra Lesson 6.5 Using Different Methods Lesson 6.5 Solving Equations Involving the to Solve Equations Distributive Property Lesson 6.6 Creating a Table of Values Lesson 6.7 Graphing Linear Relations Grade 7 – Unit 7: Data Analysis Grade 8 – Unit 7: Data Analysis and Probability Lesson 7.1 Mean and Mode Lesson 7.1 Choosing an Appropriate Graph Lesson 7.2 Median and Range Lesson 7.2 Misrepresenting Data Lesson 7.3 The Effects of Outliers on Lesson 7.3 Probability of Independent Events Averages Lesson 7.4 Applications of Averages Lesson 7.4 Solving Problems Involving Independent Events Lesson 7.5 Different Ways to Express Probability Lesson 7.6 Tree Diagrams Grade 7 – Unit 8: Geometry Grade 8 – Unit 8: Geometry Lesson 8.1 Parallel Lines Lesson 8.1 Sketching Views of Objects Lesson 8.2 Perpendicular Lines Lesson 8.2 Drawing Views of Rotated Objects Lesson 8.3 Constructing Lesson 8.3 Building Objects from their Views Perpendicular Bisectors Lesson 8.4 Constructing Angle Lesson 8.4 Identifying Transformations Bisectors Lesson 8.5 Graphing on a Coordinate Lesson 8.5 Constructing Tessellations Grid Lesson 8.6 Graphing Translations and Lesson 8.6 Identifying Transformations in Reflections Tessellations Lesson 8.7 Graphing Rotations (Christie Drever/2008) Other Notes and Suggestions: 1. Often the Grade 7 concepts can serve as a brief review for the Grade eight students before focusing on Grade 8 content. 2. As a result of our new curriculum reducing content for us, we no longer have a spiraling curriculum with overlap of content from grade to grade. This will require teachers looking at their instructional practices for mathematics and considering different approaches when they have a split grade. An option for teaching a split grade when the content for each grade is different is to consider looking at scheduling. One grade works independently in another subject area (social project, art) while the teacher works in mathematics with the other grade. Or have one grade work on the “Practice” while the teacher leads the “Explore” or “Investigate” and the “Connect” with the other grade.