Highlights of this book
- 415 problems, about 20 per chapter
- Problems first (Part 1), answer key second (Part 2)
- Final answers in bold and every step written out
Part 1 gathers the problems, chapter by chapter, in the order of the lessons. Inside each chapter, the first problems apply one idea at a time; the last ones mix several skills in word problems taken from everyday situations.
Part 2 is the answer key: every problem is solved step by step, with the final answer in bold. Keeping the solutions apart means the 21 chapters can be printed and worked on without the answers in sight.
Who is it for?
For a seventh grader working with negative numbers, percents and equations, and for the parents, tutors and homeschooling families who work with them.
The contents, chapter by chapter
For each chapter, a few problem titles and the number of problems.
| Chapter | A few of the problems | Count |
|---|---|---|
| 1Unit Rates with Fractions | Basic complex fraction · Snail speed · Chapters per hour · Pages per minute · Buckets per minute | 20 pb. |
| 2Proportional Relationships | Table check · Table of wages · Not constant · Ratios that differ · Cost of gasoline | 20 pb. |
| 3Adding and Subtracting Integers and Rational Numbers | Opposites and Zero · Opposites in real life · Adding on a Number Line · Jumping from three · Adding Integers | 20 pb. |
| 4Multiplying and Dividing Integers and Rational Numbers | Repeated Addition · Jumps of Negative Three · Sign Rules for Products · Count the Negative Factors · A Pattern of Products | 20 pb. |
| 5Two-Step Inequalities | Solve and graph · Greater than · Subtract, then divide · Less than · Include the endpoint | 15 pb. |
| 6Scale Drawings | Map distance · City map · Actual to drawing · Furniture plan · Find the scale | 20 pb. |
| 7Angle Relationships | Complementary angles · Supplementary angles · Find the missing angle · Complementary or supplementary · Vertical angles | 20 pb. |
| 8Area, Surface Area and Volume of Prisms | Parallelogram and triangle · Volume of a rectangular prism · Cube surface and volume · Area of a trapezoid · Trapezoid ramp | 20 pb. |
| 9Equations of Proportional Relationships | Constant from a table · Potato prices · Equation from one pair · Equation from a pair · Equation from a price | 20 pb. |
| 10Percent Problems: Tax, Tips, Markups and Discounts | Sales tax · Sales tax on a bike lock · Tip at a restaurant · Tip on a pizza order · Discount | 20 pb. |
| 11Percent Increase, Percent Decrease and Percent Error | Percent increase · Gas price drop · Percent decrease · Growth of a seedling · Falling attendance | 20 pb. |
| 12Rational Numbers: Decimals, Fractions and Word Problems | Fractions to decimals · Long division to decimals · Repeating decimals · Repeating digits · Terminate or repeat | 20 pb. |
| 13Equivalent Expressions | Combine like terms · Algebra tiles · Collect terms and constants · Expand with the distributive property · Area model for expanding | 20 pb. |
| 14Two-Step Equations | Add, then multiply · Six groups plus five · Subtract, then divide · Divide, then subtract · A division step | 20 pb. |
| 15Drawing Geometric Figures and Constructing Triangles | Reading a protractor · Triangle inequality check · Third angle and type · Angles of a triangle · Decimal side lengths | 20 pb. |
| 16Circumference and Area of Circles | Radius and diameter · Diameter and radius pairs · Circumference from the diameter · Labeled diameter · Circumference from the radius | 20 pb. |
| 17Random Sampling and Making Inferences | Population and sample · Library books · Sample or population? · Random or not random · Which sample is better? | 20 pb. |
| 18Comparing Two Populations | Find the mean · Mean from a dot plot · Find the MAD · MAD with a decimal · Median and IQR | 20 pb. |
| 19Probability of Compound Events | Sandwich choices · Outfit list · Two coin flips · Number cube and coin · Spinner and coin | 20 pb. |
| 20Cross Sections of 3D Figures | Slicing a cube · Prism sliced parallel to the base · Which face is the slice parallel to? · Name the cross section · A slice is a smaller copy | 20 pb. |
| 21Probability and Probability Models | Likelihood words · Likelihood in context · Marbles in a bag · Cards numbered 1 to 10 · Number cube | 20 pb. |
Look inside: two sample pages
Pages from the book exactly as they print. Click a page to open it full size.
How to use it in four steps
Choose
Pick the chapter of the next quiz or test at school.
Solve
Work the problems on paper without looking at the answer key.
Check
Compare each answer with the worked solution in Part 2.
Redo
A few days later, redo the problems that went wrong: that is where progress happens.
Questions from parents
How many problems are in the Grade 7 worksheets?
415 problems in 21 chapters, on 253 pages.
Does every problem have an answer?
Yes. Part 2 of the book solves every problem step by step and prints the final answer in bold.
Does it replace the school textbook?
It complements it: use it at home to review, practice or get ahead, whatever textbook the teacher uses.
Do I need the other two books of the grade?
No, each book works on its own. Together, the lessons, worksheets and tests of Grade 7 cover the three steps: understand, practice, check.
How is the book delivered?
Nothing is shipped: as soon as PayPal confirms the payment, your download page opens, and the link is also sent by email.
Still have a question? Read the general FAQ or write to us from the Mathovore contact page.
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