5th grade math curriculum –topics covered



5th grade math curriculum –topics covered

Chapter 1 – Place Value, Addition, and Subtraction

Place value through millions

Understand Billions

Compare and order whole numbers

Round whole numbers

Estimate sums and differences

Add and subtract whole numbers

Chapter 2 – Multiply Whole Numbers

Patterns in multiples

Estimate products

Multiply by 1-digit numbers

Multiply by multi-digit numbers

Find a pattern

Choose a method

Chapter 3 – Divide by 1- and 2- digit divisors

Estimate with 1-digit divisors

Divide by 1- digit divisors

Interpret the remainder

Zeros in Division

Algebra – Patterns in Division

Estimate with 2-digit divisors

Divide by 2 – digit divisors

Correcting quotients

Practice division

Relevant or irrelevant information

Chapter 4 Algebra: Expressions and Equations

Write expressions

Evaluate expressions

Properties

Write equations

Solve equations

Functions

Inequalities

Predict and Test

Chapter 5 – Understand Decimals

Decimal place value

Equivalent decimals

Compare and Order decimals

Draw Conclusions

Chapter 6 – Add and Subtract Decimals

Round decimals

Add and Subtract Decimals

Estimate Sums and Differences

Choose a method

Estimate or Find an exact answer

Chapter 7 - Multiply Decimals

Model multiplication by a whole number

Algebra: Patterns in decimal factors and products

Record multiplication by a whole number

Model multiplication by a decimal

Estimate products

Practice decimal multiplication

Multistep problems

Chapter 8 – Divide decimals by Whole Numbers

Decimal division

Estimate quotients

Divide decimals by whole numbers

Evaluate answers for reasonableness

Chapter 9 – Data and Statistics

Collect and Organize Data

Mean, Median, and Mode

Compare Data

Analyze graphs

Chapter 10 –Make Graphs

Make bar graphs and pictographs

Make histograms

Algebra: Graph Ordered pairs

Make line graphs

Make circle graphs

Make graphs to problem solve

Chapter 11 – Number Theory

Multiples and the least Common Multiple

Divisibility

Factors and Greatest Common denominator

Prime and Composite Numbers

Prime Factorization

Chapter 12 – Fraction Concepts

Understand fractions

Equivalent fractions

Simplest form

Understand mixed numbers

Compare and order fractions and mixed numbers

Make a model

Relate fractions and decimals

Chapter 13 – Fraction Operations

Add and Subtract like fractions

Model addition of unlike fractions

Model subtraction of unlike fractions

Estimate sums and differences

Use common denominator

Compare strategies

Choose a method

Chapter 14 – Add and Subtract Mixed Numbers

Model addition of mixed numbers

Model subtraction of mixed numbers

Subtraction with renaming

Chapter 16 – Ratios and percents

Understand and express ratios

Algebra: Equivalent ratios and proportions

Ratios and rates

Understand Maps and Scales

Make a Table

Understand Percent

Fractions, decimals, and percents

Chapter 17 – Probability

Outcomes and probability

Probability experiments

Probability and predictions

Make an organized list

Tree diagrams

Combinations and arrangements

Chapter 18 – Geometric Figures

Points, Lines and Angles

Measure and draw angles

Polygons

Identify relationships

Congruent and similar figures

Symmetry

Chapter 19 – Plane and Solid figures

Classify triangles

Classify Quadrilaterals

Draw Plane figures

Chapter 20 – Patterns

Transformations

Tessellations

Create a geometric pattern

Numeric Patterns

Find a pattern

Chapter 21 – Integers and the Coordinate Plane

Algebra: Graph relationships

Algebra – Equations and functions

Chapter 22 – Customary and Metric Measurements

Customary length

Metric length

Change linear units

Customary capacity and weight

Estimate or actual measurement

Elapsed time

Chapter 23 – Perimeter

Estimate perimeter

Find perimeter

Algebra: Perimeter formulas

Make generalizations

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