Number Sense & Place Value
Write the value of the digit 7 in 4 7 2.
70
245 + 130 = ?
375
4 × 3 = ?
12
Which fraction shows one half: 1/2 or 1/4? Shade or name it.
1/2
Name a shape that is a quadrilateral.
square, rectangle, trapezoid, rhombus, etc
Which is greater: 3,504 or 3,450? Write >, <, or =.
3,504 > 3,450
1,002 − 478 = ?
524
Draw or describe an array for 5 × 4 and write the product.
Array 5 rows of 4 = 20
On a number line from 0 to 1, show where 1/2 would be. Is 1/4 closer to 0 or 1?
1/2 at middle; 1/4 is closer to 0
**DOUBLE POINTS**
Which shapes are examples of quadrilaterals: triangle, rectangle, circle, square? (Choose all that apply.)
rectangle and square
Round 4,367 to the nearest ten.
4,370
A store had 745 pencils. They sold 389. How many pencils are left? Show how you could use a number line or place-value strategy.
356 (explain: 745 − 300 = 445; 445 − 89 = 356 or use number line)
7 × 6 = ? Also state the related division fact.
42; related division: 42 ÷ 6 = 7 (or 42 ÷ 7 = 6)
What is the perimeter of a rectangle with side lengths 5 units and 3 units? (Perimeter = sum of all side lengths.)
Perimeter = 2×(5+3)=16 units
Tell whether the number 14 is even or odd and explain how you know using pairs.
14 is even (pairs of two make groups)
Decompose 8,214 into thousands, hundreds, tens, and ones (write as: ___ thousands + ___ hundreds + ___ tens + ___ ones).
8 thousands + 2 hundreds + 1 ten + 4 ones
**DOUBLE POINTS**
Solve: 867 + 459. Then check your answer by estimating (round each to the nearest hundred first). What was your estimate?
1,326; estimate by rounding 867→900 and 459→500, estimate 1,400
Solve 3 × 24 using an area model or break apart strategy (show partial products).
3 × 24 = 72 (3 × 20 = 60; 3 × 4 = 12; 60+12=72)
Find the area of a rectangle that is 6 units by 4 units using multiplication or counting unit squares.
Area = 6 × 4 = 24 square units
Classify this figure: it has 4 equal sides and 4 right angles. What is it?
square (or rectangle if not specified equal sides) — with 4 equal sides and 4 right angles it's a square
Place the number 29,683 on a number line between two consecutive multiples of 10,000. Which two multiples is it between?
Between 20,000 and 30,000
Two-step problem: Maria has 456 stickers. She buys 128 more. Then she gives 234 to friends. How many stickers does she have now?
350 (456 + 128 = 584; 584 − 234 = 350)
A teacher packs groups of 8 chairs at each table. If the classroom has 7 tables, how many chairs total? Then write the corresponding division fact (total ÷ 8 = ?).
56 chairs; division fact 56 ÷ 8 = 7
Decompose a 4 by 5 rectangle into two smaller rectangles and show how to find the total area by adding the areas of the parts.
Area = (e.g., rectangle A 4×3 =12) + (rectangle B 4×2 =8) = 20 square units
A composite figure is made by joining two rectangles: one 3 by 4 and one 3 by 2 (shared side of length 3). Draw or describe how to decompose and compute the total area.
Total area = (3×4) + (3×2) = 12 + 6 = 18 square units (depending on orientation; explanation shows decomposition)