Stage 3 - number and algebra - number sentences
Complete number sentences involving missing numbers or missing operations; use inverse operations to solve number sentences
- complete number sentences involving missing numbers or missing operations
- use inverse operations to solve number sentences
Activities to support the strategy
At this Stage, students will typically use trial-and-error methods to find solutions to number sentences. They need to be encouraged to work backwards and to describe the processes using inverse operations. Students need to be able to justify their solutions and communicate their strategies using mathematical language.
Activity 1 – inverse operations
1. Pose this problem for students to solve:
- I am thinking of a number.
- When I take 9 away from the number my answer is 19.
- What number am I thinking of?
Students discuss and write a number sentence that could solve the problem. Compare responses. Determine that the number sentence could be either addition or subtraction, e.g.
Discuss what is meant by inverse operations.
2. Demonstrate how to complete a number of calculations working backwards. Talk aloud the strategy using ½ mathematical language and point out the inverse operations being used.
3.Students complete number sentences where the operation sign is missing, e.g.
Activity 2 - missing numbers
Students complete number sentences by finding a missing number, e.g.
- Students write similar problems for their partner to complete.
- Ask students to verbalise strategies they know which would help them solve the calculations.
- In groups, have students explain the processes they used to solve the number sentences.
Activity 3 – what kind of calculation do you get?
- Access the Red dragonfly mathematics challenge web version of the book
- Open the challenge titled -what kind of calculation do you get? (2)
- Have students work in pairs to solve the equations.
- Students then share their strategies with the class.
Activity 4 – number sentences
Complete the following activities from Talking about patterns and algebra (PDF 2879.83KB)
- Completing Number Sentences pp.131–134
- Incomplete number sentences
- Find the hidden numbers
- Lesson Breakers p. 135
- Incomplete number sentence
- Problem sentences
Activity 5 – equations and expressions
Students use the Noodle learning object to explore algebra. This interactive resource explores and interprets word problems by evaluating expressions and solving equations in different contexts. Included are print activities, solutions, learning strategies, and a board game.
ACMNA133: Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence.
MA3-8NA: Analyses and creates geometric and number patterns, constructs and completes number sentences
NSW numeracy continuum
Aspect 3: Patterns and number Structure – Number Properties.
- NRICH - Getting the balance
- NRICH - Think of two numbers
- NRICH - Which symbol?
- NRICH - our number is...
What is My Number? Pick a number - any number. What is My Number will do a few calculations and… voila! Your number will magically appear.