Geometry

In this lesson, we will discuss three main types of angles: acute, right, and obtuse angles. Angles are measured in degrees. There are 360 degrees in a full rotation of a circle. 

Here is a useful website that explains degrees

 

An Acute Angle (spetsig vinkel) is less than 90° 

A Right angle (rät vinkel) is exactly 90°

An Obtuse Angle (trubbig vinkel) is more than 90° but less than 180°

In this lesson, we will review the names of 2D shapes in English and Swedish.  We will also discuss the properties of each shape, in order to compare them.

In this lesson, we will review the types of angles that we learned last week.  We will begin to practise measuring angles using a protractor.

Pi Day is the official Math Holiday and it lands on March 14th every year (3.14). In this lesson, students will be taking part in a range of activities to learn about Pi.

• Cube = Kub

• Cuboid =  Rätblock

• Sphere = Sfär eller klot

• Cone = Kon

• Cylinder = Cylinder

• Square Based Pyramid = Fyrsidig pyramid

• Triangular Prism = Prisma med triangulär bottenyta

• Faces = Sidoytor

• Edges = Kanter

• Vertices (corners) = Hörn

In this lesson, we will work on finding the perimeter around the outside edge of squares, rectangles, and regular shapes.

• Perimeter - Omkrets: the distance measured around the outside of a shape

• Length/Längd - longest side

• Width/Bredd - short side

In this lesson, we will discuss how to find the perimeter of compound and irregular shapes.

In this lesson, we will review much of the vocabulary from the last few weeks and practise solving a range of geometry problems using laptops and playing interactive games.

In this lesson, we will focus on calculating the area of 2D shapes by counting squares and measuring in square units. 

In this lesson we will practise calculating the area of rectangles by using multiplication.

Area = length x width

(length is the longer side, width is the shorter side)

Classwork:

1) Textbook page 75 (Q2)

2) Textbook page 74

In the example below, the area is 35 square meters - also written 35 m²

In this lesson, we will learn about the different types of triangles and how we classify them.

Translations:

Equilateral = liksidig

Isosceles = likbent

Scalene = oliksidig

Acute = spetsvinklig

Right = rätvinklig

Obtuse = trubbvinklig

We will also be calculating the area of triangles.

We find the area of a triangle by multiplying the base x height, and then dividing by 2.

It can also be shown as:

In the example above, the base is 4cm, and the height is 6cm.

To solve for the area: 

4 x 6 = 24

24 divided by 2 = 12

so the area is 12 cm²

The base can be any side of the triangle, but it is often easiest to use the bottom side. 

The height is the distance from the base to the opposite corner (hörn). 

The base and the height are always perpendicular to each other (vinkelrät).

In this lesson, we will continue to practise solving the area of triangles. We will also review the different types of triangles.

In this lesson, we will discuss calculating the area of compound shapes. A compound shape is a figure made up of a range of 2D shapes.

Divide the shape into squares and rectangles, find their individual areas and then add them together.

Area = 16 + 16 + 48 = 80cm²

In this lesson, we will go over all of the methods for calculating area. We will discuss how to calculate the area of irregular shapes and spend time solving word problems relating to finding area. 

In this lesson, we will be discussing translations of shapes. Translations are when shapes move along a coordinate grid.

So the figure slides 7 units to the left and 3 units down.

In the example below A slides 6 units to the right to A'. The same is true for B and C. 

So the figure slides 6 units to the right.

In this lesson, we will reflect shapes across a mirror line on a coordinate grid.

In this lesson, we will review all of the topics from the geometry unit to prepare for the checkpoint in Lesson 3.

The checkpoint will cover these topics from the entire geometry unit:

In this lesson, we will discuss the answers to the checkpoint and go over any areas with misconceptions. We will continue to practise sample questions for next week's assessment.

In this lesson we will review several topics. Students will be split into groups and rotate between 4 different stations in the classroom. Students may complete any unfinished work at home to help them prepare for the assessment.

The assessment will cover the following topics: