Grade 1 · Math · Unit

Shapes, Measuring, and Graphs

9 lessonsabout 5 weeks

The unit ends with three more days: a review day, the unit check, and a day to act on what the check showed.

Unit 8 of 8 in the Grade 1 Math Scope and Sequence

What's included in this unit

9 lessons in teaching order, each with its objective and a teacher note
33 practice pages to print, with an easier and a harder page where available
5 classroom tools for the projector
7 activities and pages that children do on a screen
8 check-up pages to collect

The whole unit in one file

Print every page of the unit at once, with the teacher guide first. The guide has one page per lesson: the objective, what to hand out, and the teacher note.

Teacher guide only (PDF)

The unit file, the teacher guide, and saved pages are included with the Teacher plan.

Your PDF is built in your browser, so it always has the newest version of every page.

Lessons

Lesson 1

What makes a shape that shape?

Children decide by its sides and corners whether a shape really is a triangle, a rectangle, or a square, and write the names of shapes.

StandardCommon Core 1.G.A.1Geometry
ReviewsCommon Core K.G.A.2Geometry

3 class days

Day 1Teach: Which One Doesn’t Belong? · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page
Day 3Reteach and extend: Act on the check-up pages: reteach the children who are not there yet, with the tool and a new page from the maker; the others take a harder page.

Lesson 2

Tangram puzzles

Children build a figure with the seven tangram pieces and find the piece that is missing from a figure.

StandardCommon Core 1.G.A.2Geometry

2 class days

Day 1Teach: Practice on paper (Core page)
Day 2Practice: More pages from the maker · Practice on screen

Practice on paper

Tangram Puzzles: Four Shadows to Build
Core page
Tangram Puzzles: Which Piece Is Missing?
Core page

Practice on screen

Mim's Glow Workshop — Compose Shapes from Pattern Blocks

Make more

Make more pages like this with the Tangram maker.

Lesson 3

Measure length with squares

Children measure the length of an object by counting the unit squares under it, and put three objects in order from shortest to longest.

StandardCommon Core 1.MD.A.1Measurement and Data
StandardCommon Core 1.MD.A.2Measurement and Data

3 class days

Day 1Teach: Measurement Bench · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page
Day 3Reteach and extend: Act on the check-up pages: reteach the children who are not there yet, with the tool and a new page from the maker; the others take a harder page.

Warm up and teach

Open Measurement Bench on the projector.

Practice on paper

Cube by Cube
Core page Easier page Harder page
Short to Long
Core page Easier page Harder page

Practice on screen

Inchie's Garden Path — Measuring by Laying Units

Check-up page

One more page of Cube by Cube to collect at the end of the lesson.

Make more

Make more pages like this with the Measurement & Size maker.

Lesson 4

No gaps, no overlaps

Children measure a length by laying paper clips end to end from one end to the other with no gaps and no overlaps, and find the mistakes in rows of clips that were laid wrong.

StandardCommon Core 1.MD.A.2Measurement and Data

2 class days

Day 1Teach: Measurement Bench · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Check-up page

Warm up and teach

Open Measurement Bench on the projector.

Practice on paper

No Gaps, No Overlaps
Core page Easier page Harder page

Check-up page

One more page of No Gaps, No Overlaps to collect at the end of the lesson.

Teacher note

Common mistakes: Children leave gaps between the clips or let them overlap, and still count every clip. Others start the row a little way in from one end of the object, or stop before the other end. Many think any row of clips gives the length, no matter how it is laid.
Words to use: On the Measurement Bench (sound on), choose Length and lay paper clips from one end of the object to the other, but leave gaps. Tap "Count." The bench pushes the clips together and says aloud that part of the object is not covered yet. "Why does it need more clips?" Add clips and count again. Then lay a pencil under the document camera and measure it with real paper clips that overlap: "Is my pencil 6 clips long?" Agree on the rule and write it on the board: start at one end, use clips of one size, lay them end to end, no gaps, no overlaps, stop at the other end. Then pairs measure three things from their desks and say "about _ paper clips long."
What to watch for: On the easier page, four ribbons each have a row of clips: two rows are laid right, one has gaps, and one has overlaps. On the page for everyone, there are six rows, and one wrong row starts late. On the harder page, one wrong row stops short, and the child writes how many clips long the ribbon is only where the clips are laid right. The child fills in the circle next to "right" or "wrong" and circles every mistake: a row with gaps or overlaps has two, and a row that starts late also runs past the other end. Ask: "Is the number too big or too small?" (A row that starts late may show the right number.)

Lesson 5

Sort into three groups

Children decide where each picture belongs and sort a set of pictures into three groups.

StandardCommon Core 1.MD.C.4Measurement and Data
ReviewsCommon Core K.MD.B.3Measurement and Data

2 class days

Day 1Teach: Practice on paper (Core page)
Day 2Practice and check: More pages from the maker · Practice on screen · Check-up page

Practice on paper

Three Groups
Core page

Practice on screen

Mim's Memory Baskets — Sort Things into Groups

Check-up page

One more page of Three Groups to collect at the end of the lesson.

Make more

Make more pages like this with the Sorting & Categories maker.

Lesson 6

Sort, count, and read a picture graph

Children count each kind in a mixed set, write the totals in a table, and read how many a picture graph shows in each row.

StandardCommon Core 1.MD.C.4Measurement and Data

3 class days

Day 1Teach: Class Graph · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page
Day 3Reteach and extend: Act on the check-up pages: reteach the children who are not there yet, with the tool and a new page from the maker; the others take a harder page.

Warm up and teach

Open Class Graph on the projector.

Practice on paper

Sort and Count
Core page Easier page Harder page
Read the Picture Graph
Core page Easier page Harder page

Practice on screen

Sort and Count

Check-up page

One more page of Sort and Count to collect at the end of the lesson.

Make more

Make more pages like this with the Graphs & Data maker.

Lesson 7

Read and make a bar graph

Children read the number each bar shows and color a bar graph, one box for each one counted.

StandardCommon Core 1.MD.C.4Measurement and Data
Later gradeCommon Core 2.MD.D.10Measurement and Data

3 class days

Day 1Teach: Class Graph · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page
Day 3Reteach and extend: Act on the check-up pages: reteach the children who are not there yet, with the tool and a new page from the maker; the others take a harder page.

Warm up and teach

Open Class Graph on the projector.

Practice on paper

Read the Bar Graph
Core page Easier page Harder page
Count and Graph
Core page Easier page Harder page

Practice on screen

Pip's Stacking Fence — Build & Read a Bar Graph

Check-up page

One more page of Read the Bar Graph to collect at the end of the lesson.

Make more

Make more pages like this with the Graphs & Data maker.

Lesson 8

Patterns: two are missing

Children find the part that repeats in a pattern and fill in two missing pictures.

2 class days

Day 1Teach: Pattern Bench · Practice on paper (Core page)
Day 2Practice and check: More pages from the maker · Check-up page

Warm up and teach

Open Pattern Bench on the projector.

Practice on paper

Two Are Missing!
Core page

Check-up page

One more page of Two Are Missing! to collect at the end of the lesson.

Make more

Make more pages like this with the Patterns maker.

Lesson 9

Equal shares: fair or not?

Children decide whether a circle or a rectangle is cut into equal shares and circle the shapes that are. With the teacher they name two equal shares halves and four equal shares fourths.

StandardCommon Core 1.G.A.3Geometry

3 class days

Day 1Teach: Fraction Kitchen · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Harder page) · Practice on screen · Check-up page
Day 3Reteach and extend: Act on the check-up pages: reteach the children who are not there yet, with the tool and a new page from the maker; the others take a harder page.

Warm up and teach

Open Fraction Kitchen on the projector.

Practice on paper

Fair Shares?
Core page Harder page

Practice on screen

Make Equal Parts — Partition into Halves & Fourths

Check-up page

One more page of Fair Shares? to collect at the end of the lesson.

Make more

Make more pages like this with the Fractions maker.

Unit check: before and after

Two short paper checks made from this unit's own worksheets. Give Check A before you teach the unit and Check B after it, and you can see what changed. Each part belongs to one lesson.

Part 1: Lesson 1, What makes a shape that shape? (1 task)
Part 2: Lesson 3, Measure length with squares (1 task)
Part 3: Lesson 4, No gaps, no overlaps (2 tasks)
Part 4: Lesson 5, Sort into three groups (2 tasks)
Part 5: Lesson 6, Sort, count, and read a picture graph (1 task)
Part 6: Lesson 7, Read and make a bar graph (1 task)
Part 7: Lesson 8, Patterns: two are missing (1 task)
Part 8: Lesson 9, Equal shares: fair or not? (1 task)

Not in the check: Lesson 2. Worksheets that cannot be split into single tasks are left out.

Check A (PDF) · 3 pages Check B (PDF) · 3 pages

Printing a check counts as a download, like any worksheet.

Answer key A Answer key B Teacher pages: points, class record, and what to do next

The answer keys and the teacher pages come with the paid Teacher plan.

This is a classroom check of this unit's lessons. It is not a standardized test, and its points are not a grade.

Unit checks