Consolidation questions 1 · parentheses
Evaluate 19 × (7 + 3), explaining why parentheses matter.
Singapore Math 5A · Independent learning
Practice — Chapter 2
Consolidation target: Consolidate expression writing and evaluation with error analysis and transfer.
Fresh problems from the immediately preceding lesson cluster. Show all work and attach correct units.
Consolidation questions
Consolidation questions 2 · parentheses
Evaluate 27 × (7 + 3), explaining why parentheses matter.
Consolidation questions 3 · order of operations
Evaluate 22 + 5 × 3. Identify the first operation.
Consolidation questions 4 · order of operations
Evaluate 13 + 3 × 9. Identify the first operation.
Consolidation questions 5 · equal precedence
Evaluate 120 ÷ 3 ÷ 5, showing the equal-priority order.
Consolidation questions 6 · equal precedence
Evaluate 126 ÷ 2 ÷ 7, showing the equal-priority order.
Consolidation questions 7 · translation
Write an expression for “7 times the sum of 22 and 6,” then evaluate it.
Consolidation questions 8 · translation
Write an expression for “5 times the sum of 23 and 6,” then evaluate it.
Consolidation questions 9 · word expression
A team buys 4 identical kits. Each kit costs $19 for parts and $6 for a case. Write and evaluate one expression for the total.
Consolidation questions 10 · word expression
A team buys 7 identical kits. Each kit costs $15 for parts and $5 for a case. Write and evaluate one expression for the total.
Consolidation questions 11 · multistep expression
9 shelves each hold 29 novels and 2 reference books. Then 2 books are removed from each shelf. Write one expression for the books remaining.
Consolidation questions 12 · multistep expression
9 shelves each hold 24 novels and 6 reference books. Then 3 books are removed from each shelf. Write one expression for the books remaining.
Representation and explanation
Use Consolidation Questions 1 and 2 above (not two questions of your choice). For Question 1 draw a grouping diagram that preserves the exact parentheses. For Question 2 draw a grouping diagram that preserves the exact parentheses. Label all quantities, include physical measurement units when they are part of the question, show which operation your model proves, and check the answers by an inverse calculation or a size estimate.