# Lesson Planning Page by L0vl6c

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```									                                   Math DesCartes: Numbers and Operations
Skills: Computation Strategies – Multiplication and Division
Students:         DesCartes Skills:                                                         • Solves problems involving percents
(Highlight the skills related to your chosen                              • Solves problems involving percents
standard/concept)                                                         (analysis)
RIT 251-260:                                                              • Solves problems involving simple percent
• Solves problems involving complex percent                               discounts (e.g., finding sale price)
discounts (e.g., finding percent discount,                                • Solves problems involving percent increase
regular price)                                                            and decrease
• Performs basic operations on matrices                                   • Solves problems involving tax and tips
RIT 241-250:                                                              • Calculates commission/deductions and total
• Solves real-world problems involving                                    pay
multiplication and division of integers                                   • Performs basic operations on matrices
(analysis)                                                                RIT 221-230:
• Calculates the percent one number is of                                 • Uses multiplication strategies to explain
another (e.g., 20 is what % of 90)                                        computation (e.g., doubles, 9-patterns,
• Calculates a percent of a rational number                               decomposing, partial products)
(e.g., 6% of 0.78)                                                        • Multiplies multiple-digit numbers
• Solves problems involving percents                                      • Divides a 4-digit number by a 2-digit
(analysis)                                                                number
• Solves problems involving simple percent                                • Divides multiple-digit numbers
discounts (e.g., finding sale price)                                      • Divides numbers by powers of 10
• Solves problems involving complex percent                               • Solves complex word problems involving
discounts (e.g., finding percent discount,                                whole number division with remainder (e.g.,
regular price)                                                            2-step, 2-digit divisor)
• Calculates commission/deductions and total                              • Uses division for multiple-step real-world
pay                                                                       problems (whole numbers)
• Solves problems involving simple interest                               • Multiplies a fraction by a fraction without
rates without the formula                                                 reducing to simplest form (complex problem)
• Performs basic operations on matrices                                   • Multiplies a fraction by a fraction where
RIT 231-240:                                                              reducing to simplest form is necessary
• Divides multiple-digit numbers                                          • Multiplies a fraction by a whole number
• Uses appropriate algorithms to represent                                • Multiplies mixed fractions
multiplication or division with whole numbers                             • Divides a fraction by a fraction
• Multiplies mixed fractions                                              • Divides a mixed fraction by a fraction
• Divides a fraction by a fraction                                        • Solves 1-step real-world problems involving
• Divides a fraction by a whole number                                    fractions with multiplication and division
• Divides a whole number by a fraction                                    • Solves 2- or more step real-world problems
• Divides a mixed fraction by a whole                                     involving fractions with multiplication and
number                                                                    division
• Divides a whole number by a mixed                                       • Solves problems involving fractions (e.g.,
fraction                                                                  multiple operations, conversions)
• Divides a mixed fraction by a fraction                                  • Multiplies a decimal by a decimal, vertical
• Divides a fraction by a mixed fraction                                  form (factors to tenths or hundredths)
• Divides a mixed fraction by a mixed fraction                            • Multiplies a decimal by a decimal (factors to
• Solves 2- or more step real-world problems                              hundredths)
involving fractions with multiplication and                               • Multiplies a decimal by 10, 100, 1000
division                                                                  • Multiplies a decimal by a decimal (factors to
• Solves problems involving fractions (e.g.,                              thousandths)
multiple operations, conversions)                                         • Solves real-world problems involving rate of
• Multiplies a decimal by 10, 100, 1000                                   pay
• Solves real-world problems involving rate of                            • Divides a decimal by 10, 100, 1000
pay                                                                       • Divides a decimal by a decimal
• Solves real-world problems involving rate of                            • Computes with dollars and cents over
pay with time and a half                                                  \$5.00 and converts to decimals
• Divides a whole number by a decimal                                     (multiplication/division)
• Divides a decimal by 10, 100, 1000                                      • Computes the value of multiple bills and
• Divides a decimal by a decimal                                          coins (multiplication/division)
• Solves difficult real-world problems                                    • Solves difficult real-world problems
involving decimals (e.g., multiple                                        involving decimals (e.g., multiple
multiplications, conversions)                                             multiplications, conversions)
• Multiplies integers with like signs                                     • Multiplies integers with unlike signs
• Divides integers with like signs                                        • Divides integers with unlike signs
• Solves real-world problems involving                                    • Solves real-world problems involving
multiplication and division of integers                                   multiplication and division of integers
(analysis)                                                                • Calculates basic percents of a number
• Multiplies rational expressions                                         (e.g., 10%, 20%, 25%, 50%, 100%)
• Divides rational expressions in a/b form                                • Calculates a percent of a number (e.g., 6%
• Calculates sums combining fractions,                                    of 30)
decimals, and percents                                                    • Calculates a number from a percent (e.g., 4
• Calculates a percent of a number (e.g., 6%                              is 9% of what)
of 30)                                                                    • Adds and subtracts percent
• Calculates the percent one number is of                                 • Solves problems involving percents
another (e.g., 20 is what % of 90)                                        • Solves problems involving tax and tips

Math Numbers & Operations – Computation Strategies – Multiplication and Division   Page 1 of 3       Info taken from NWEA DesCartes – HI Alignment 3.2.1
Math DesCartes: Numbers and Operations
Skills: Computation Strategies – Multiplication and Division
• Solves problems involving simple interest                               RIT 201-210:
rates with the formula                                                    • Instantly recalls basic multiplication facts
• Solves problems comparing percents,                                     where one factor is 6-12 and the other factor
fractions, and decimals                                                   is 0-12
RIT 211-220:                                                              • Instantly recalls basic multiplication and
• Instantly recalls basic multiplication and                              division facts in a table
division facts in a table                                                 • Multiplies a 2-digit number by a 1-digit
• Multiplies a 2-digit number by a 2-digit                                number with regrouping
number with regrouping                                                    • Multiplies a 3- or 4-digit number by a 1-
• Multiplies a 3-digit number by a 2-digit                                digit number
number with regrouping                                                    • Multiplies multiple 1-digit numbers
• Performs mental computation with                                        • Multiplies a 2-digit number by a 2-digit
multiplication                                                            number with no regrouping
• Multiplies a 3-digit number by a 3-digit                                • Multiplies a 2-digit number by a 2-digit
number                                                                    number with regrouping
• Multiplies a 4- or more digit number by                                 • Multiplies a 3-digit number by a 2-digit
multiples of 100 or 1000                                                  number with regrouping
• Multiplies multiple-digit numbers                                       • Performs mental computation with
• Divides a 2-digit number or a 3-digit                                   multiplication
number by a 1-digit number with a                                         • Multiplies a 2- or 3-digit number by
remainder                                                                 multiples of 10 or 100
• Performs mental computation with division                               • Multiplies a 3-digit number by a 3-digit
• Divides a 4-digit number by a 1-digit                                   number
number with no remainder                                                  • Solves word problems involving whole
• Divides a 4-digit number by a 1-digit                                   number multiplication with numbers greater
number with a remainder                                                   than 10 x 10
• Divides a 3-digit number by a 2-digit                                   • Instantly recalls division facts with dividend
number                                                                    and divisors less than 13
• Divides a 4-digit number by a 2-digit                                   • Divides a 1-digit number by a 1-digit
number                                                                    number with a remainder
• Solves problems using the inverse                                       • Divides a 2-digit number by a 1-digit
relationship between multiplication and                                   number with no remainder
division                                                                  • Divides a 2-digit number or a 3-digit
• Divides a whole number by a whole                                       number by a 1-digit number with a
number and expresses the remainder as a                                   remainder
decimal                                                                   • Performs mental computation with division
• Divides multiple-digit numbers                                          • Divides a 3-digit number by a 1-digit
• Uses strategies to determine 2 or more                                  number with no remainder
missing digits (multiplication/division only)                             • Divides a 4-digit number by a 1-digit
• Solves whole number word problems with                                  number with no remainder
division over 10 x 10                                                     • Divides a 4-digit number by a 1-digit
• Solves complex word problems involving                                  number with a remainder
whole number division with remainder (e.g.,                               • Divides a 2-digit number by a 2-digit
2-step, 2-digit divisor)                                                  number with a remainder
• Multiplies a fraction by a fraction where                               • Divides 3-digit number by multiple of 10
reducing to simplest form is necessary                                    • Divides a 4-digit number by a 2-digit
• Multiplies a fraction by a whole number                                 number
• Solves 1-step real-world problems involving                             • Solves word problems with whole number
fractions with multiplication and division                                division facts with dividend and divisors less
• Multiplies a decimal by a decimal, vertical                             than 11
form (factors to tenths or hundredths)                                    • Solves simple word problems involving
• Multiplies a decimal by a decimal (factors to                           whole number division with remainder (e.g.,
hundredths)                                                               1-step, 1-digit divisor)
• Solves real-world problems involving                                    • Solves whole number word problems with
decimals (not money) using multiplication                                 division over 10 x 10
• Divides decimal by a whole number                                       • Multiplies a fraction by a fraction without
• Analyzes and computes 1 operation on                                    reducing to simplest form (simple problem)
real-world problems involving money over                                  • Multiplies a decimal by whole number
\$5.00 (multiplication/division)                                           • Divides decimal by a whole number
• Computes with dollars and cents over                                    • Computes with dollars and cents up to and
\$5.00 and converts to decimals                                            including \$5.00 and converts to decimals
(multiplication/division)                                                 (multiplication/division)
• Computes addition, subtraction,                                         • Computes money problems with multiple
multiplication, and division on multiple-step,                            operations (addition/subtraction only)
real-world problems involving money                                       • Computes addition, subtraction,
• Multiplies integers with unlike signs                                   multiplication, and division on multiple-step,
• Divides integers with unlike signs                                      real-world problems involving money
• Solves real-world problems involving                                    RIT 191-200:
multiplication and division of integers                                   • Instantly recalls basic multiplication facts
• Calculates basic percents of a number                                   where one factor is 6-12 and the other factor
(e.g., 10%, 20%, 25%, 50%, 100%)                                          is 0-12
• Multiplies a 2- or 3-digit number by a 1-

Math Numbers & Operations – Computation Strategies – Multiplication and Division   Page 2 of 3       Info taken from NWEA DesCartes – HI Alignment 3.2.1
Math DesCartes: Numbers and Operations
Skills: Computation Strategies – Multiplication and Division
digit number with no regrouping                        Lesson Title:
• Multiplies a 2-digit number by a 1-digit
number with regrouping                                 Standard/Concept for All:
• Multiplies a 3- or 4-digit number by a 1-
digit number
• Multiplies a 2-digit number by a 2-digit
number with no regrouping
• Multiplies a 3-digit number by a 2-digit
number with no regrouping                              Introduction: (Get Attention; Connect to Prior Knowledge)
• Performs mental computation with
multiplication
• Solves word problems involving basic whole
number multiplication facts to 10 x 10
• Solves word problems involving whole                 For Students Ready for a Challenge:
number multiplication with numbers greater
than 10 x 10
• Instantly recalls division facts with dividend       Lesson/Activity:
and divisors less than 10
• Instantly recalls division facts with dividend
and divisors less than 13
• Divides a 2-digit number by a 1-digit
number with no remainder                               Resources:
• Uses strategies to determine 1 missing digit
(multiplication/division only)
• Solves word problems with whole number
division facts with dividend and divisors less
than 11
Means of Assessment:
• Solves simple word problems involving
whole number division with remainder (e.g.,
1-step, 1-digit divisor)
• Solves real-world 1-step problems involving          For Most Students:
multiplication or division of a whole number
by a fraction
• Multiplies a decimal by whole number                 Lesson/Activity:
• Computes half price
(multiplication/division)
• Computes with dollars and cents up to and
including \$5.00 and converts to decimals
(multiplication/division)                              Resources:
• Computes 1 operation on real-world
problems involving money over \$5.00
(multiplication/division)
• Solves problems involving basic percent
concepts (e.g., 10%, 50%, 100%)
RIT 181-190:                                           Means of Assessment:
• Multiplies basic facts to 10 x 10 vertically
• Multiplies a 2-digit number by a 1-digit
number with regrouping
• Solves word problems involving basic whole           For Students Needing Extra Support:
number multiplication facts to 10 x 10
• Instantly recalls division facts with dividend       Lesson/Activity:
and divisors less than 10
• Solves word problems with whole number
division facts with dividend and divisors less
that 11 involving money
RIT 171-180:                                           Resources:
• Instantly recalls basic multiplication facts
where one factor is 0-5 and the other factor
is 0-12
• Multiplies basic facts to 10 x 10 vertically
RIT 161-170:
• Instantly recalls basic multiplication facts         Means of Assessment:
where one factor is 0-5 and the other factor
is 0-12

Closure/Summary for All:

Math Numbers & Operations – Computation Strategies – Multiplication and Division   Page 3 of 3   Info taken from NWEA DesCartes – HI Alignment 3.2.1

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