Shape A
Shape B
Shape C
Shape D
Shape E
Shape F
Stage 2: 1st & 2nd Grade Page 7 of 7
6 ft
4 ft
Area (Length × Width)
Perimeter (Sum of all sides)
Stage 3: 3rd to 5th Grade Page 6 of 10
6 Measurement & Data
Word Problem
How many milliliters of water is this?
Measurement Fact 1 Liter (L) = 1,000 Milliliters (mL)
Workspace (Show your multiplication here)
Total Milliliters:
Stage 3: 3rd to 5th Grade Page 7 of 10
7 Measurement & Data
Word Problem
How many more books did Sam read than Tina?
10 books
8 books
6 books
4 books
8
Sam
4
Tina
10
Leo
Subtraction: ______ - ______ = ______
Difference:
Stage 3: 3rd to 5th Grade Page 8 of 10
8 Geometry & Shapes
Word Problem
One angle is 45 degrees. The other is 30 degrees.
What is the measure of the total combined angle?
Combine the values to find the full measure.
45° 30° Total Angle ( ? )
Workspace (Show your addition here)
Total Angle:
Stage 3: 3rd to 5th Grade Page 9 of 10
9 Geometry & Shapes
Word Problem
What is the total volume of the box?
Volume Formula Volume (V) = Length × Width × Height
Workspace (Show your multiplication here)
Total Volume:
Stage 3: 3rd to 5th Grade Page 10 of 10
Stage Two: Primary Years (1st/2nd)
Task 1 (Place Value Blocks): Hand student 3 base-ten rods and 10 unit cubes.
Script: "Let's build the shape shown on the paper. Here are the tens rods and ones cubes. Build this design. Now, count the tens blocks, then write the value. Then count the ones."
Task 3 (Nest Multiplication Grouping): Hand student 3 paper bowls and 12 counters.
Script: "These bowls are our nests. Put 4 egg counters into the first bowl, 4 into the second, and 4 into the third. How many eggs do we have all together?"
Task 4 (Clock face Reading): Hand student a blank analog clock face with movable hands.
Script: "Look at the clock on the page. Move the hands on your clock to match it exactly. Let's look at the short hand. What number is it past? Now, let's look at the long hand."
Teacher Guide • Scripting Page 3 of 5
4 Facilitation Scripts
Stage 3
Stage Three: Intermediate Years (3rd-5th)
Task 1 (Pizza Fractions): Provide a paper circle divided into four quarters, or physical fraction circles.
Script: "Imagine this is a pizza. Can you show me how you eat 2 of the pieces? Take 2 pieces away. What part of the pizza is left? Write down that fraction."
Task 3 (Sticker Sharing Equation): Provide 30 physical counters and 4 cups labeled 'Friend'.
Script: "Here are 30 sticker counters. First, take away 6 stickers that Maya gives her brother. Put them aside. Now, put the rest of the stickers into these 4 cups one by one so they are completely equal. How many stickers are in each cup?"
Task 5 (Area & Perimeter Grid): Provide grid paper and 24 square-inch plastic tiles.
Script: "Use these 24 tiles to build a rectangular shape. It needs to be 6 blocks long and 4 blocks tall. Build it on the table. Now, let's find the area by counting the tiles inside. Now, let's find the perimeter by counting along the outer edges."
Task 8 (Angle Addition): Provide two clear plastic angles (45° and 30°) or a plastic protractor.
Script: "Look at how these two angles are joined together. One is 45 degrees, and the other is 30 degrees. If we lay them next to each other, how do we find the total size of the combined angle?"
Observation Guidelines
Record if the student required physical objects to complete the task. Students who can solve the problem on paper display abstract mastery; students requiring physical manipulatives display concrete-tactile milestones. Document this on the scoring sheet.
Teacher Guide • Scripting Page 4 of 5
5 Answer Key & Scoring
All Stages
Stage 1 Solution Guide
Stage 2 Solution Guide
Stage 3 Solution Guide
Q1 N&O (Fraction WP): 2/4 (or 1/2)
Q2 N&O (WP Multi-step): 56 cookies (12-5=7; 7×8=56)
Q3 Alg (WP Stickers): 6 stickers ((30-6)÷4 = 6)
Q4 Alg (WP Expression): 5 × (10 + 8) = 90
Q5 Meas (Garden Area): Area = 24, Perimeter = 20
Q20 (Stage 3 continued):
Q6 Meas (WP Liter): 2,000 mL (2 × 1000 = 2000)
Q7 Meas (WP Graph): 4 books (8 - 4 = 4)
Q8 Geom (WP Angle): 75° (45 + 30 = 75)
Q9 Geom (WP Volume): 60 cubic inches (5×3×4 = 60)
| Score Range | Developmental Milestone Mastery Level | Recommended Next Action |
|---|---|---|
| 1 - 5 points | Emergent Math Learners (Pre-K / K Concept Mastery) | Target basic 1-to-1 correspondence & spatial attributes |
| 6 - 11 points | Primary Math Learners (1st / 2nd Grade Competency) | Target addition strategies, missing values & clocks |
| 12 - 20 points | Intermediate Math Learners (3rd - 5th Grade Mastery) | Target multi-step word problems, scaling, and volume |
Teacher Guide • Scoring Page 5 of 5
