- MA4-EQU-C-01 solves linear equations of up to 2 steps and quadratic equations of the form
📖 Prior Knowledge
| Content | Prerequisite relationships |
|---|---|
| Multiplicative Relations B | - Use inverse operations to solve number sentences → Solve one-step linear equations |
| Computation with Integers | - Multiply and divide positive and negative integers → Solve 2-step linear equations |
| Algebraic Techniques | - Translate between words and algebraic expressions → Distinguish expressions from equations - Translate between words and algebraic expressions → Model word problems with equations - Substitute values into algebraic expressions → Verify equation solutions by substitution - Substitute values into algebraic expressions → Solve equations from formulas - Substitute values into algebraic expressions → Solve quadratics from formulas - Expand brackets using the distributive law → Solve 2-step linear equations |
| Indices | - Use square roots and cube roots → Reason about two solutions of |
Solve linear equations up to 2 steps.pdf
- Represent number sentences involving unknown quantities using pronumerals
- Describe number sentences as equations
- Distinguish between and compare algebraic expressions and equations
- Solve linear equations with integer and non-integer solutions using algebraic techniques that involve up to 2 steps, including equations with pronumerals on both sides
- Model and solve word problems using equations of up to 2 steps
Solve and verify linear equations by substitution.pdf
- Verify solutions to equations by substitution
- Solve problems involving linear equations, including those arising from substituting given values into formulas
Solve quadratic equations.pdf
- Reason why there are 2 values of that satisfy a quadratic equation of the form if
- Solve problems involving quadratic equations of the form , giving answers in exact form and as decimal approximations
- Solve quadratic equations arising from substitution into a formula