Grade 7 Math Lessons

152 lessons

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Fractions and mixed numbers

3 lessons

1Equivalent Fractions and Lowest Terms15 min 2Least Common Denominator: Compare and Order Fractions16 min 3Mixed Numbers, Improper Fractions and Data Displays15 min

Operations with fractions and mixed numbers

5 lessons

1Reciprocals of Fractions and Mixed Numbers10 min 2Add, Subtract and Multiply Fractions18 min 3Adding and Subtracting Mixed Numbers12 min 4Dividing Fractions and Mixed Numbers13 min 5Estimate and Solve Fraction Word Problems18 min

Decimals and decimal operations

4 lessons

1Compare, Order and Round Decimals14 min 2Adding and Subtracting Decimals12 min 3Multiplying and Dividing Decimals17 min 4Estimating and Solving Word Problems with Decimals18 min

Factors and multiples

3 lessons

1Divisibility Rules and Prime Factorization15 min 2Greatest Common Factor and Least Common Multiple17 min 3Solving Word Problems with the GCF and LCM12 min

Integers and absolute value

3 lessons

1Integers, Opposites, and Absolute Value on a Number Line18 min 2Ordering Integers, Opposites, and Absolute Value14 min 3Integers in Real Life and Comparing with Absolute Value15 min

The coordinate plane

3 lessons

1Points and Quadrants on the Coordinate Plane14 min 2Distance Between Points That Share a Coordinate12 min 3Graphing a Table and Reading Points in Context16 min

Adding and subtracting integers

4 lessons

1Zero Pairs and Integers on a Number Line18 min 2Rules for Adding and Subtracting Integers18 min 3Reorder, Regroup, and Find Missing Integers18 min 4Integer Word Problems and Finding Sign Errors18 min

Multiplying and dividing integers

5 lessons

1Multiplying Integers on a Number Line18 min 2Dividing Integers and Equal Quotients18 min 3Properties of Operations and Integer Expressions20 min 4What Integer Products and Quotients Mean in Real Life13 min 5Why the Sign Rules Work and How to Spot Errors20 min

Rational numbers and decimal form

4 lessons

1Rational Numbers: Classify and Convert to Decimals18 min 2Terminating and Repeating Decimals, and Back to Fractions18 min 3Ordering Rational Numbers and Finding Distance18 min 4Finding and Fixing Fraction-Decimal Conversion Errors14 min

Adding and subtracting rational numbers

4 lessons

1Subtracting as Adding the Opposite on a Number Line18 min 2Adding and Subtracting Signed Decimals and Fractions18 min 3Using Properties to Add and Subtract Rational Numbers12 min 4Word Problems and Error Analysis with Rational Numbers20 min

Multiplying and dividing rational numbers

3 lessons

1Signs First: Multiplying and Dividing Decimals16 min 2Multiplying and Dividing Fractions with Properties20 min 3Rational Number Word Problems and Error Analysis20 min

Problem solving with rational numbers

3 lessons

1Order of Operations with Rational Numbers20 min 2Multi-Step Rational Number Problems: Choose the Operation20 min 3Finding and Fixing Errors in Rational Number Work14 min

Ratios, rates, and unit rates

3 lessons

1Equivalent Ratios and Unit Rates15 min 2Unit Rates with Fractions and Different Units20 min 3Using Unit Rates to Solve and Compare20 min

Proportional relationships

6 lessons

1Spotting Proportional Relationships in Tables and Graphs18 min 2Finding the Constant of Proportionality20 min 3Complete a Table and Graph a Proportional Relationship13 min 4Writing Equations for Proportional Relationships20 min 5Reading and Drawing Proportional Graphs in Context20 min 6Solving Proportional Word Problems and Finding Errors19 min

Solving proportions

3 lessons

1Testing and Solving Proportions16 min 2Proportion Word Problems and Population Estimates20 min 3Multi-Step Ratio Problems and Finding Errors20 min

Scale drawings

4 lessons

1Scale, Scale Factor and Actual Lengths16 min 2Missing Lengths and Word Problems in Scale Drawings20 min 3Actual Areas and Redrawing at a New Scale20 min 4Finding and Fixing Errors in Scale Drawing Work13 min

Percents, fractions, and decimals

2 lessons

1Percents as Rates per 100: Convert and Compare20 min 2Estimating Percents with Benchmarks12 min

Percent equations

3 lessons

1Percent of a Number and Finding the Whole15 min 2Finding the Percent and Using Percent Proportions16 min 3Percent Word Problems and Error Analysis20 min

Percent of change

3 lessons

1Percent of Change and New Amounts16 min 2Original Amounts and Percent of Change Word Problems18 min 3Percent Error and Checking Percent-of-Change Work20 min

Percent applications: tax, discount, and interest

4 lessons

1Tax, Tips, Commission, Discounts and Markups18 min 2Finding the Original Price from a Sale Price13 min 3Simple Interest: A Yearly Percent of the Principal12 min 4Finding the Better Deal: Discounts and Coupons13 min

Writing and evaluating expressions

2 lessons

1Parts of an Expression and Writing Expressions from Words16 min 2Evaluate Expressions and Write Them from Word Problems18 min

Equivalent expressions

4 lessons

1Like Terms and Equivalent Expressions20 min 2Adding and Subtracting Linear Expressions13 min 3Expanding and Factoring Linear Expressions20 min 4Equivalent Expressions and Error Analysis20 min

Interpret and rewrite expressions in context

3 lessons

1Interpreting and Writing Expressions in Context17 min 2Rewrite Percent Change Expressions to Solve Problems18 min 3Identifying Equivalent Expressions in Context13 min

One-step equations

2 lessons

1Checking and Solving One-Step Equations20 min 2Solving One-Step Equation Word Problems13 min

Two-step equations

3 lessons

1Writing and Solving Two-Step Equations18 min 2Two-Step Equations: Parentheses, Fractions, Decimals20 min 3Combining Like Terms and Solving Word Problems20 min

Writing and graphing inequalities

6 lessons

1Is It a Solution? Testing Values in Inequalities10 min 2Graph Inequalities and Write Them from Graphs14 min 3Writing Inequalities for Real-World Situations12 min 4Solve and Graph One-Step Inequalities12 min 5Solving One-Step Inequality Word Problems15 min 6Error Analysis: Writing and Graphing Inequalities12 min

Two-step inequalities

4 lessons

1Solving Two-Step Inequalities: When the Symbol Reverses20 min 2Graph the solution set of a two-step inequality13 min 3Two-Step Inequality Word Problems: Solve and Interpret20 min 4Error Analysis: Checking Solved Inequalities13 min

Multi-step problems with rational numbers

3 lessons

1Convert Between Forms and Compute Efficiently18 min 2Solve Multi-Step Problems and Check with Estimates20 min 3Finding and Fixing Errors in Multi-Step Problems12 min

Units of measurement

2 lessons

1Compare and Convert Customary and Metric Units15 min 2Converting Between Customary and Metric Units18 min

Lines and angles

3 lessons

1Segments, Rays, Lines and Angles14 min 2Parallel, Perpendicular and Intersecting Lines10 min 3Bisectors: Splitting Segments and Angles in Half11 min

Two-dimensional figures

2 lessons

1Classifying Polygons, Triangles and Quadrilaterals20 min 2Finding Missing Angles in Triangles and Quadrilaterals16 min

Area and perimeter of polygons

2 lessons

1Perimeter and Area of Polygons20 min 2Finding Missing Dimensions and Solving Word Problems20 min

Three-dimensional figures

1 lesson

1Volume of Rectangular Prisms with Unit Cubes11 min

Constructing triangles

2 lessons

1Triangle Inequality: Can Three Lengths Make a Triangle?10 min 2One Triangle, Many, or None? Conditions and Errors20 min

Angle relationships

4 lessons

1Identifying Angle Pair Relationships10 min 2Finding Complementary and Supplementary Angle Measures10 min 3Vertical and Adjacent Angles: Find and Solve20 min 4Multi-Step Angle Problems and Error Analysis20 min

Circumference and area of circles

4 lessons

1Circumference and Area of a Circle18 min 2Working Backward and Measuring Parts of Circles20 min 3Circumference and Area Word Problems13 min 4Error Analysis: Circumference and Area of Circles12 min

Area of composite figures

2 lessons

1Area of Composite Figures: Rectangles and Triangles18 min 2Area Between Two Shapes and Error Analysis18 min

Surface area of prisms and pyramids

3 lessons

1Surface Area of Cubes and Rectangular Prisms13 min 2Surface Area of Triangular Prisms and Pyramids20 min 3Surface Area Word Problems and Error Analysis20 min

Volume of prisms

3 lessons

1Volume of Prisms: Base Area Times Height18 min 2Missing Dimensions and Volume Word Problems20 min 3Surface Area and Volume of Prisms: Solve and Check20 min

Data displays

3 lessons

1Dot Plots and Frequency Tables15 min 2Bar Graphs, Histograms and Box Plots18 min 3Choosing the Right Data Display11 min

Measures of center and variability

3 lessons

1Mean, Median, Mode, Range, Quartiles and IQR16 min 2Calculating the Mean Absolute Deviation13 min 3Missing Values and Outliers20 min

Random sampling and inferences

3 lessons

1Populations, Samples, and Bias16 min 2Estimates from Samples and How Much They Vary20 min 3Comparing Random Samples and Justifying Inferences20 min

Comparing two populations

3 lessons

1Comparing Two Data Sets: Center and Variability18 min 2How Far Apart? Overlap and Multiples of Variability20 min 3Comparing Two Populations: Inferences and Error Checks20 min

Probability of simple events

3 lessons

1Likelihood from 0 to 1 and Sample Spaces13 min 2Probability of an Event and Its Complement18 min 3Comparing Probabilities and Making Predictions18 min

Experimental probability

3 lessons

1Experimental Probability and the Long Run18 min 2Making Predictions With Probability18 min 3Comparing Experimental and Theoretical Probability14 min

Probability models

3 lessons

1Building and Using Uniform Probability Models18 min 2Probability Models from Data: Build and Predict20 min 3Probability Models: Compare with Data and Fix Errors20 min

Probability of compound events

4 lessons

1Counting Outcomes and Identifying Events18 min 2Finding the Probability of a Compound Event13 min 3Choosing and Using Simulations for Compound Events20 min 4Find and Fix Errors in Compound Probability13 min