6.3.C
The Standard
represent integer operations with concrete models and connect the actions with the models to standardized algorithms
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use counters, number lines, groups, or arrays to show what happens when integers are added, subtracted, multiplied, or divided. They connect each model to a numerical calculation.
What Mastery Looks Like
- Students build or draw an accurate model for addition, subtraction, multiplication, and division with integers. They write a matching equation and explain each step using signs.
Common Misconceptions
- Students may treat every negative sign as a subtraction symbol. They may remove zero pairs incorrectly or apply sign rules for multiplication to addition and subtraction.
How to Assess It
- Exit ticket: Model -4 - (-7) and (-3)(5), then write each answer and explain how the model matches the calculation.
Lesson moves
Ways to Teach It
Give pairs two-color counters to model six integer expressions, then have them sketch each model and write the matching equation.
Ask students to explain why subtracting -5 has the same result as adding 5, using a number line or counters.
Play Integer Model Match with cards showing expressions, counter diagrams, number lines, and answers that students must group correctly.
Give temperature and bank balance scenarios, then have students model each change and calculate the final value.
Keep exploring
Related Standards
- 4.3.E
represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and propertie...
- 6.4.E
represent ratios and percents with concrete models, fractions, and decimals
- 6.10.A
model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts
- 6.7.C
determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations
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