Integers

Worksheets on integers, one lesson each. They start with numbers below zero, the number line, comparing, opposites and absolute value, then move on to the four operations with two-colour counters and on the number line: a red counter is +1, a blue one is −1, and a zero pair is worth 0.

What Integers Are

• PDFNumbers Below Zerothermometers, floors, debt, the set ℤ · 2 pagesPRI
• PDFIntegers on the Number Linethe number line, comparing, next and previous numbers · 2 pagesPRI
• PDFOpposites and Absolute Valuedistance from zero, three meanings of the minus sign · 2 pagesPRI
• PDFCounters and Zero Pairstwo-colour counters, showing numbers, opposites · 2 pagesPRI

Adding Integers

• PDFAdding Negative Integerssign cases 0–3 · 2 pagesPRI
• PDFAdding Integers with Different Signszero pairs, sign cases 4–5 · 2 pagesPRI
• PDFThe Rule for Adding Integersall sign cases and the rule · 2 pagesPRI
• PDFTangram: Adding Integersa puzzle for practice, made in the Tangram Puzzle app, figure: rocket · 2 pagesPRI

Subtracting Integers

• PDFSubtracting: Adding Zero Pairssign cases 1–2 · 2 pagesPRI
• PDFSubtracting from Zero and Subtracting Negativessign cases 3–4 · 2 pagesPRI
• PDFSubtracting Integers with Different Signssign case 5, a − b = a + (−b) · 2 pagesPRI
• PDFThe Rule for Subtracting Integersall sign cases and mixed practice · 2 pagesPRI
• PDFTangram: Subtracting Integersa puzzle for practice, made in the Tangram Puzzle app, figure: boat · 2 pagesPRI

Adding and Subtracting: Number Line and Mental Calculation

• PDFAdding and Subtracting on the Number Linejumps on the line, subtraction as distance, money and debt · 2 pagesPRI
• PDFMental Calculation with Integersgrouping, removing brackets, a magic square · 2 pagesPRI

Multiplying and Dividing Integers

• PDFMultiplying a Positive and a Negative Numberrepeated addition, jumps, counters · 2 pagesPRI
• PDFMultiplying Two Negative Numbersa pattern, counters and zero pairs, a proof · 2 pagesPRI
• PDFDividing Integersthe inverse of multiplication, sign rules, zero · 2 pagesPRI
• PDFTangram: Multiplying Integersa puzzle for practice, made in the Tangram Puzzle app, figure: fish · 2 pagesPRI
• PDFTangram: Dividing Integersa puzzle for practice, made in the Tangram Puzzle app, figure: cat · 2 pagesPRI

Review

• PDFOrder of Operations with Integersbrackets and signs, expressions from stories · 2 pagesPRI
• PDFIntegers: Puzzles and Reviewcalculation chain, true or false, self-assessment · 2 pagesPRI

The free apps Counters (its Operations mode shows integer addition, subtraction, multiplication and division step by step), Number Line (negative numbers, jumps from zero and the distance between two points) and Tangram Puzzle (the practice puzzles were made in it; you can make your own) go with these worksheets.