Grade 1 Mathematics Weeks 31–32: Teacher Guide and Answer Key
For adults: model the worked example before independent practice, verify each of the four responses, and ask students to explain their reasoning. Adapt pacing and reteach with fresh numbers. Do not show these keys before students finish.
Week 31: Picture graphs and category data
Day 151: Read a picture graph
Teaching focus: Read the graph title and key. When each mark equals one, count the marks in each category.
Model separately: A chart showing 4 apples and 2 pears has more apples.
Practice 1: Picture graph: apples 6 symbols, pears 4 symbols, key 1 symbol = 1 vote. How many apple votes? Answer: 6.
Practice 2: Graph: dogs 3, cats 7, fish 2. How many cat votes? Answer: 7.
Practice 3: A chart has 7 drawing votes and 4 reading votes. How many more drawing votes than reading votes? Answer: 3.
Practice 4: Graph: red 4, green 6, blue 3. How many votes in all? Answer: 13.
Scoring: one point per correct response (4 total). Accept mathematically equivalent explanations or drawings; document support given and reteach errors using new examples.
Day 152: Find the most and fewest
Teaching focus: Compare categories by their counts. Use the words most and fewest with evidence from the data.
Model separately: If dogs have 5 votes and cats 3, dogs have the most.
Practice 1: Graph: ducks 8, robins 5, finches 3. Which is most? Answer: Ducks.
Practice 2: Graph: pencils 6, markers 2, crayons 5. Which is fewest? Answer: Markers.
Practice 3: Graph: apples 4, bananas 7, pears 6. Which category is between the other counts? Answer: Pears.
Practice 4: Graph: dogs 9, cats 3, fish 4. How many categories are shown? Answer: 3.
Scoring: one point per correct response (4 total). Accept mathematically equivalent explanations or drawings; document support given and reteach errors using new examples.
Day 153: Compare category counts
Teaching focus: Subtract the smaller category from the larger to find how many more.
Model separately: Six red marks and four blue marks differ by two.
Practice 1: Chart: seven red and four blue votes. How many more red? Answer: 3.
Practice 2: Graph: six book votes and nine art votes. How many fewer book votes? Answer: 3.
Practice 3: Chart: eight walkers and five bus riders. Difference? Answer: 3.
Practice 4: Graph: ten apples and six pears. How many more apples? Answer: 4.
Scoring: one point per correct response (4 total). Accept mathematically equivalent explanations or drawings; document support given and reteach errors using new examples.
Day 154: Make a tally table
Teaching focus: Record one mark for each item. Organize the marks into groups of five if helpful.
Model separately: Four tally marks stand for four choices.
Practice 1: Draw tally marks for 4 votes. Answer: ||||.
Practice 2: Draw tally marks for 7 votes. Answer: A group of five and two more marks.
Practice 3: A table shows 3 apples and 6 pears. How many tally marks altogether? Answer: 9.
Practice 4: What does each tally mark represent? Answer: One item or vote.
Scoring: one point per correct response (4 total). Accept mathematically equivalent explanations or drawings; document support given and reteach errors using new examples.
Day 155: Explain a data conclusion
Teaching focus: A conclusion should use actual counts from the table. Check the title, labels and key before answering.
Model separately: If apples have 7 and bananas have 5, apples lead by 2.
Practice 1: Chart: birds 8, bees 6. A student claims the same count. Correct? Answer: No; birds have 2 more.
Practice 2: Graph: red 5, blue 9. Which has more, and how many more? Answer: Blue; 4 more.
Practice 3: Chart: music 6, art 4, sports 7. How many votes altogether? Answer: 17.
Practice 4: Graph: cats 3, dogs 5. Explain how you know dogs have more. Answer: Five is greater than three by two.
Scoring: one point per correct response (4 total). Accept mathematically equivalent explanations or drawings; document support given and reteach errors using new examples.
Week 32: Shapes and equal shares
Day 156: Name flat shapes
Teaching focus: Recognize triangles, rectangles and squares by sides and corners, not by color or size.
Model separately: A triangle has three straight sides.
Practice 1: How many sides does a triangle have? Answer: 3.
Practice 2: How many corners does a rectangle have? Answer: 4.
Practice 3: Are all squares rectangles? Answer: Yes.
Practice 4: Draw a triangle and mark its corners. Answer: 3 corners marked.
Scoring: one point per correct response (4 total). Accept mathematically equivalent explanations or drawings; document support given and reteach errors using new examples.
Day 157: Describe solid shapes
Teaching focus: Cubes, cylinders, and spheres are three-dimensional shapes. Say how their faces or surfaces differ.
Model separately: A cube has six square faces.
Practice 1: Which solid has six square faces? Answer: Cube.
Practice 2: Which solid has two flat circular faces? Answer: Cylinder.
Practice 3: What solid is round like a ball? Answer: Sphere.
Practice 4: Is a drawn circle flat or solid? Answer: Flat.
Scoring: one point per correct response (4 total). Accept mathematically equivalent explanations or drawings; document support given and reteach errors using new examples.
Day 158: Identify halves
Teaching focus: Two equal shares of one whole are halves. Unequal pieces are not halves.
Model separately: A rectangle split into two equal regions has halves.
Practice 1: How many equal parts make halves? Answer: 2.
Practice 2: Are two unequal pieces halves? Answer: No.
Practice 3: Draw a rectangle split into two equal pieces. Answer: Two equal regions.
Practice 4: What is one of two equal shares called? Answer: One half.
Scoring: one point per correct response (4 total). Accept mathematically equivalent explanations or drawings; document support given and reteach errors using new examples.
Day 159: Identify fourths
Teaching focus: Four equal shares are fourths. More equal shares of the same whole means smaller individual pieces.
Model separately: A square in four equal regions has fourths smaller than its halves.
Practice 1: How many equal shares make fourths? Answer: 4.
Practice 2: Which is smaller for the same whole: a half or a fourth? Answer: One fourth.
Practice 3: Can four unequal pieces each be called a fourth? Answer: No.
Practice 4: Draw a square partitioned into four equal pieces. Answer: Four equal regions.
Scoring: one point per correct response (4 total). Accept mathematically equivalent explanations or drawings; document support given and reteach errors using new examples.
Day 160: Explain attributes and shares
Teaching focus: Use shape attributes and the word equal. Give a reason why a partition or shape name is correct.
Model separately: Four unequal pieces are not fourths.
Practice 1: Does a rectangle have four corners? Answer: Yes.
Practice 2: Is a sphere a flat shape? Answer: No.
Practice 3: How many equal parts make a whole in fourths? Answer: 4.
Practice 4: Explain why four unequal pieces are not fourths. Answer: Fourth means each share is equal.
Scoring: one point per correct response (4 total). Accept mathematically equivalent explanations or drawings; document support given and reteach errors using new examples.