Cage Arithmetic Grid With Negatives
Written by Adi Ackerman, Head Teacher
"Cage Arithmetic Grid With Negatives" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.NS.A.3. A 6th grader who is already steady on math puzzles can use it too, and an older student can use it as a short review.
7th grade math worksheet: fill a 5 by 5 grid using negative and positive integers in cages that add or multiply to a target. Answer key included. Part of our sudoku variants math puzzles collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with a 6 by 6 sheet such as Greater Than Sudoku, then move to the 9 by 9 grids. Use the sheets with equation and expression clues when students need practice with integers and two step equations.
What students will practice
- Students will use negative 2, negative 1, 1, 2 and 3 once in every row and column.
- Students will add or multiply integers in each cage to reach its target, such as negative 6 or negative 12.
- Students will check products and sums with negative integers, for example negative 2 times 3 equals negative 6.
Curriculum Links
Common Core State Standards
The Number System · 7th Grade
Standard: Solve real-world and mathematical problems involving the four operations with rational numbers.
View all 7.NS.A.3 worksheets →Find this in the curriculum
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FAQ
How do I use this sudoku variants worksheet?
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Start with a 6 by 6 sheet such as Greater Than Sudoku, then move to the 9 by 9 grids. Use the sheets with equation and expression clues when students need practice with integers and two step equations.
What does this worksheet teach?
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Fill a 5 by 5 grid using negative and positive integers in cages that add or multiply to a target. The directions on the page read: Use −2, −1, 1, 2, and 3 once per row and column. Numbers in a dashed cage add (+) or multiply (×) to its small number and may repeat. A one-cell cage holds its number. An answer key is included.
Can I use this sudoku variants worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade math puzzles, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What is a sudoku variant?
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A sudoku variant uses the usual rule that each row, column and box holds each value once, then adds an extra clue. The clue might be shading for even and odd digits, cage sums, diagonals or marks between cells.
Which sudoku sheets use 7th grade math?
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Signed Digit Sudoku uses the integers from negative 4 to 4, and Cage Arithmetic Grid With Negatives adds and multiplies negative integers. Fraction Value Sudoku treats fractions as decimals, and Two-Step Equation Sudoku Clues has students solve equations such as 9x minus 6 equals 21.
What size are the grids?
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Some sheets use a 9 by 9 grid with 3 by 3 boxes. Others use a 6 by 6 grid with 2 by 3 boxes, which is a gentler start.
Do the sudoku sheets have answer keys?
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Yes. All 11 sheets have an answer key with the completed grid.
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Worksheet Details
| Grade | 7th Grade |
| Subject | Math |
| Topic | Math Puzzles |
| Standard | 7.NS.A.3 |
| Pages | 1 page |
| Difficulty | Medium |
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