[PDF] Grade 7 Represent and Operate Using Decimal Numbers - EduGAINS

57944_65_Grade7_RepresentCompareOrderandOperateUsingDecimalNumbers_AODA.pdf

TIPS4MathGrade 7

Represent, Compare, Order and Operate Using Decimal Numbers

Overall Expectations

Students will:

• Represent, compare, and order numbers, including integers (7m8)

• Demonstrate an understanding of addition and subtraction of fractions and integers, and apply a variety of computational

strategies to solve problems involving whole numbers and decimal numbers (7m9)

• Determine the relationships among units and measurable attributes, including the area of a trapezoid and the volume of a right

prism (7m32)

Students will:

• Represent, compare, and order decimals to hundredths and fractions, using a variety of tools (7m11)

• Divide whole numbers by simple fractions and by decimal numbers to hundredths, using concrete materials (7m18)

• Use a variety of mental strategies to solve problems involving the addit ion and subtraction of fractions and decimals (7m19) • Solve problems involving the multiplication and division of decimal numb ers to thousandths by one-digit whole numbers, using a variety of tools and strategies (7m20) • Solve multi-step problems arising from real-life contexts and involving whole numbers and decimals, using a variety of tools and strategies (7m21) • Use estimation when solving problems involving operations with whole num bers, decimals, and percents, to help judge the reasonableness of a solution (7m22) • Evaluate expressions that involve whole numbers and decimals, including expressions that contain brackets, using order of operations (7m23) • Solve problems that require conversion between metric units of measure ( 7m35)

LessonLearning Focus

Expectations

Represent Decimal Numbers to

Hundredths• Use a variety of tools to represent decimals to hundredths (e.g. number line, Cuisinaire rods, base ten materials, calculators)7m11

Compare and Order Decimal

Numbers

• Use a variety of tools to order and compare decimals to hundredths (e.g . number line, Cuisinaire rods, base ten materials, calculators)7m11

Add and Subtract Decimal

Numbers

• Use a variety of strategies to add and subtract decimals, including ment

al math strategies (decompose, compensation, commutative property, distributive property, and estimation)7m197m22

Multiply Decimal Numbers• Solve problems involving multiplying decimal numbers to thousandths by

one-digit whole numbers using a variety of tools and strategies ( e.g., estimation and algorithms)7m207m22

EduGAINS-Mathematics

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TIPS4MathGrade 7

Represent, Compare, Order and Operate Using Decimal Numbers (continued)

Lesson

Learning Focus

Expectations

Divide Decimal Numbers•

• Solve problems by dividing whole numbers by decimal numbers to hundredths using concrete materials Divide decimal numbers to thousandths by one-digit whole numbers using a variety of tools and strategies (e.g., estimation and algorithm s) 7m18 7m20 7m22

Single-Step Problems Involving • Use a variety of tools and strategies to solve single-step problems aris

ing 7m21 Operations with Decimal from real-life contexts 7m22

Numbers • add and subtract decimal numbers to thousandths • multiply and divide decimal numbers to thousandths by one-digit whole numbers • divide whole numbers by hundredths

Order of Operations• Evaluate numerical expressions that involve whole numbers and decimals, including expressions that contain brackets7m23

Multi-Step Problems Involving • Use a variety of tools and strategies to solve multi-step problems arisi

ng 7m21 Operations with Decimal from real-life contexts 7m22 Numbers • add and subtract decimal numbers to thousandths • multiply and divide decimal numbers to thousandths by one-digit whole numbers • divide whole numbers by hundredths 7m23

Conversion Between Metric

Units • Apply an understanding of multiplying and dividing decimals by factors o f 10 to metric conversions7m35

Solve Real-Life Problems That

Require Conversions

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