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- NZ Year 4 Maths
- 2D Shapes and Planes

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Get Started Now- Lesson: 1a1:08
- Lesson: 1b1:44
- Lesson: 1c1:57
- Lesson: 1d1:33
- Lesson: 2a1:16
- Lesson: 2b1:25
- Lesson: 2c1:17
- Lesson: 2d1:15
- Lesson: 3a2:49
- Lesson: 3b2:50
- Lesson: 3c2:14
- Lesson: 4a2:34
- Lesson: 4b3:22
- Lesson: 4c3:42
- Lesson: 5a5:58
- Lesson: 5b9:28
- Lesson: 5c6:31

In this lesson, we will learn:

- How to use the coordinate plane system to draw and locate points in the format ($x$, $y$)
- How to rotate, reflect, and translate shapes on the coordinate plane

- The
**coordinate plane**(also calledor the*coordinate system*) is a system where*2D cartesian plane/system***points**on a grid are given locations called "**coordinates**"

Example: use a simple dot grid (or array) to understand how the coordinate plane works

- The unique and specific location of any point is given by two pieces of information
- the
**column**number (from left to right) - and the
**row**number (from top to bottom)

- The
**coordinate plane**has two dimensions and points are given in the format**point (x, y)** - the location on the
**x-axis**(from left to right, the column number) - and the location of the
**y-axis**(from top to bottom, the row number)

- There are four types of
**transformations**that can be done on the coordinate plane **Rotations:**spinning shapes around a point**Reflections:**creating a mirror image across a mirror line**Translations:**sliding a shape (left $\longleftrightarrow$ right) and/or (up $\updownarrow$ down)**Resizing:**stretching or shrinking a shape by a scale factor (i.e. doubling, halving)

- 1.
**Drawing a point on the coordinate plane**

Draw a point for the coordinates given:a)(2,3)b)(8,6)c)(4,9)d)(7,5) - 2.
**Naming the coordinates of a point**

Write the coordinates for the point in the format ($x$,$y$)a)b)c)d) - 3.
**Translations of points on the coordinate plane**

Slide the point following the instructions. Draw the new point and write its coordinates.a)move 8 units left and 3 units upb)move 0 units left and 6 units downc)move 3 units right and 1 unit up - 4.
**Polygons and coordinate grids**

Draw and name the missing point to complete the shapea)rectangleb)hexagonc)octagon - 5.
**Basic transformations on coordinate grids**

The rectangle has points (2,7), (4,7), (2,3), (4,3)a)Translate the whole shape by sliding 5 units right and 2 units down. Draw all the points and sides after the translation. Give the coordinates of the new vertex points.b)Rotate the polygon 90° clockwise around the point (4,3). Draw all the points and sides after the rotation. Give the coordinates of the new vertex points.c)Reflect the shape across the dotted line. Draw all the points and sides after the reflection. Give the coordinates of the new vertex points.