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Lines and Angles · Adult guide

Lines and Angles

Grade 4 · Math

Goal

Sort lines, angles, and shapes by their features, and identify right triangles.

You'll need

Scissors, a glue stick, and crayons.

Help with the hands, not the answer

  1. Read the passage aloud, or let the student read it. Read each activity's short directions aloud too.
  2. For each piece, let the student choose first, by pointing, looking, or using their AAC device. Keep your hands still and your face neutral while they choose.
  3. Once they have chosen, help with cutting and gluing as much as they need.
  4. Cut pieces ahead of time if cutting takes the attention away from the content.

Add these words to the student's AAC device before the lesson

parallel, perpendicular, right, acute, obtuse, angle, corner, line, side, shape, rectangle, triangle, meet, cross, equal, equilateral, isosceles, scalene, quadrilateral, parallelogram, trapezoid, rhombus

Words from the check are left out on purpose.

What's in this packet

  • Reading passage and cut, paste, and color activities
  • A data sheet and a check on a new passage, for evidence of what the student knows
  • A check answer key on the last page. Remove it before the check.
Lines and Angles · Adult guide

Standards and activity answers

Standards the check measures

CA Common Core Math 4.G.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. (Two-dimensional shapes should include special triangles, e.g., equilateral, isosceles, scalene, and special quadrilaterals, e.g., rhombus, square, rectangle, parallelogram, trapezoid.) CA

These are California's standards. Outside California, check the code and wording against your state's framework before citing them in an IEP.

Activity answers

Color the answer. Which one makes a square corner? Right. Which lines never meet? Parallel.

Parallel or perpendicular?. Parallel: Train rails; Ladder sides; Lines that never meet. Perpendicular: Window corner; Square corner; Lines making square corners

Angle sizes. 1. Acute 2. Right 3. Obtuse

What does it have?. Rectangle: Four right angles. Right triangle: One right angle. Circle: No straight sides

Name each one. Top left: acute angle. Top right: right angle. Bottom left: obtuse angle. Bottom right: parallel lines

Name the triangle. Equilateral: three equal sides. Isosceles: at least two equal. Scalene: no equal sides

Three sides or four?. Triangles: Equilateral; Isosceles; Scalene. Quadrilaterals: Parallelogram; Trapezoid; Rhombus

Lines and Angles · Read togetherName ____________ Date ________

Lines and Angles

Parallel lines never meet, like the two rails of a train track. Perpendicular lines cross to make square corners, like the corner of a sheet of paper.

A square corner is called a right angle. An acute angle is smaller than a right angle. An obtuse angle is larger than a right angle.

We can sort shapes by their lines and angles. A rectangle has two pairs of parallel sides and four right angles. A triangle with one right angle is called a right triangle.

A triangle can also be named by its sides. An equilateral triangle has three equal sides. An isosceles triangle has at least two equal sides. A scalene triangle has no equal sides.

A shape with four sides is called a quadrilateral. A parallelogram has two pairs of parallel sides. A trapezoid has a pair of parallel sides. A rhombus has four equal sides, and a square has four equal sides and four right angles.

Lines and Angles · 4.G.2Name ____________ Date ________

Color the answer

Color the right box.

Which one makes a square corner?

Acute
Right
Obtuse

Which lines never meet?

Perpendicular
Parallel
Lines and Angles · 4.G.2Name ____________ Date ________

Parallel or perpendicular?

Sort the cards.

Parallel

Perpendicular

Cut out along the dashed lines

Square corner
Lines making square corners
Train rails
Ladder sides
Lines that never meet
Window corner
Lines and Angles · 4.G.2Name ____________ Date ________

Angle sizes

Put them smallest to largest.

1
2
3

Cut out along the dashed lines

Obtuse
Acute
Right
Lines and Angles · 4.G.2Name ____________ Date ________

What does it have?

Match each shape.

Rectangle
Right triangle
Circle

Cut out along the dashed lines

No straight sides
One right angle
Four right angles
Lines and Angles · 4.G.2Name ____________ Date ________

Name each one

Label each one.

Cut out along the dashed lines

obtuse angle
parallel lines
acute angle
right angle
Lines and Angles · 4.G.2Name ____________ Date ________

Name the triangle

Match each triangle.

Equilateral
Isosceles
Scalene

Cut out along the dashed lines

at least two equal
no equal sides
three equal sides
Lines and Angles · 4.G.2Name ____________ Date ________

Three sides or four?

Sort the cards.

Triangles

Quadrilaterals

Cut out along the dashed lines

Trapezoid
Rhombus
Scalene
Parallelogram
Equilateral
Isosceles
Lines and Angles · Check data sheet · adult

Before the check

  • This uses the same questions as the on-screen check. Use one or the other, and count only the first try.
  • Remove the answer key first. Ideally, someone who didn't teach the lesson runs the check.
  • Give no hints, reactions, or right-or-wrong feedback.
  • Results stay on this sheet. They aren't added to the on-screen report.

How the student chose answers (mark one)

Independent, adult could not see

Independent, adult could see

With touch, a held device, or cues

Mark the last one if anyone touched the student, held anything for them, or cued them while they chose. Help with cutting or gluing after they chose doesn't count as support, but an adult who saw the choice means "adult could see."

Help after the student chose

CuttingGluingColoringNone

Results

Date ____________ Check run by (role) ____________________

ItemStandardStudent's answerRight?
14.G.2
24.G.2
34.G.2
44.G.2
54.G.2
64.G.2
74.G.2
84.G.2
94.G.2
104.G.2

Each question with four choices can be guessed right 1 time in 4. These 10 items are too few to conclude from alone. The on-screen report waits for 20 items at a level.

Lines and Angles · CheckName ____________ Date ________

A Map of the Town

On a map of a town, Oak Street and Elm Street run side by side and never meet. Main Street crosses both of them at square corners. A small park is shaped like a triangle with one square corner. A road called Long Lane meets Main Street at an angle wider than a square corner. The playground is a triangle with three equal sides. The sign at the school is a triangle with two equal sides and one shorter side. The garden has four equal sides but no square corners. The parking lot has four sides, and only two of them are parallel.

Lines and Angles · CheckName ____________ Date ________

Color the answer

Choose your answer, then color its box.

How are Oak Street and Elm Street related?

They form a triangle
They are perpendicular
They meet at an angle
They are parallel

How are Main Street and Oak Street related?

They are parallel
They are perpendicular
They never cross at all
They form an acute angle
Lines and Angles · CheckName ____________ Date ________

Color the answer

Choose your answer, then color its box.

What shape is the park?

A square
A triangle with no square corner
A right triangle
A rectangle

What kind of angle does Long Lane make with Main Street?

A parallel angle
An acute angle
A right angle
An obtuse angle
Lines and Angles · CheckName ____________ Date ________

Color the answer

Choose your answer, then color its box.

Which shape has no parallel sides?

A triangle
A square
A rectangle
A long rectangle

Which shape always has perpendicular sides?

A circle
A rectangle
A triangle with three acute angles
An oval
Lines and Angles · CheckName ____________ Date ________

Color the answer

Choose your answer, then color its box.

What kind of triangle is the playground?

A scalene triangle
A right triangle
A triangle with no equal sides
An equilateral triangle

What kind of triangle is the sign?

An equilateral triangle
An isosceles triangle
A triangle with four sides
A scalene triangle
Lines and Angles · CheckName ____________ Date ________

Color the answer

Choose your answer, then color its box.

What shape is the garden?

A rhombus
A rectangle
A square
A triangle

What shape is the parking lot?

A trapezoid
A square
A rhombus
A rectangle
Lines and Angles · Check answer key · adult only

Check answer key

Keep this away from the check, and use it only for scoring afterward.

ItemStandardQuestionAnswer
14.G.2How are Oak Street and Elm Street related?They are parallel
24.G.2How are Main Street and Oak Street related?They are perpendicular
34.G.2What shape is the park?A right triangle
44.G.2What kind of angle does Long Lane make with Main Street?An obtuse angle
54.G.2Which shape has no parallel sides?A triangle
64.G.2Which shape always has perpendicular sides?A rectangle
74.G.2What kind of triangle is the playground?An equilateral triangle
84.G.2What kind of triangle is the sign?An isosceles triangle
94.G.2What shape is the garden?A rhombus
104.G.2What shape is the parking lot?A trapezoid