 • # Lines, Triangles, Shapes, and Angles

Posted by BRONWYN CHEN on 3/18/2020

2D Shapes and Angles

The Essential Questions for these units are:

• How can I draw and identify points, lines and line segments in 2D shapes?
• How can I draw and identify rays and angles in 2D shapes?
• How can I draw and identify perpendicular and parallel lines in 2D shapes?
• How do the attributes of 2D shapes help me classify shapes into categories?
• How do I determine if a 2D figure is line-symmetric?
• How does a protractor help me measure an angle?
• How can I correctly sketch an angle measure?
• How can I break an angle into smaller parts?
• How do I use addition and subtraction to find unknown angles?

What students will be able to do by the end of the unit:

• Identify points, lines, line segments, rays, angles, perpendicular and parallel lines in 2D figures.
• Draw points, lines, line segments, rays, angles, perpendicular and parallel lines.
• Classify 2D figures based on their features.
• Identify line-symmetric figures.
• Recognize and draw lines of symmetry for 2D figures.
• Using a given rule, generate a number or shape pattern.
• Use a protractor to measure the degrees of an angle.
• Sketch angles of a specified measure with a protractor.
• Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems.

Key Terms

• Ray - A part of a line; it has one endpoint and continues without end in one direction.
• Point - An exact location in space.
• Endpoint - The point at either end of a line segment or the starting point of a ray.
• Line - A straight path of points in a plane that continues without end in both directions.
• Line Segment - A part of a line that includes two points called endpoints.
• Perpendicular Lines - Two lines that intersect to form four right angles.
• Parallel Lines - Lines in the same plane that never intersect and are always the same distance apart.
• Angle - A shape formed by two line segments or rays that share the same endpoint.
• Acute Angle - An angle that measures greater than 0 degrees and less than 90 degrees.
• Obtuse Angle - An angles that measures greater than 90 degrees and less than 180 degrees.
• Right Angle - An angle that forms a square corner.
• Straight Angle - An angle whose measure is 180 degrees.
• Right Triangle - A triangle with one right angle.
• Obtuse Triangle - A triangle with one obtuse angle.
• Acute Triangle - A triangle with three acute angles.
• Line of Symmetry - An imaginary line on a shape about which the shape can be folded so that its two parts match exactly.
• Intersecting Lines - Lines that cross each other at exactly one point.
• Degree - The unit used for measuring angles.
• Protractor - A tool used for measuring the size of an angle.

These videos go along with our 2D Shapes and Angles units.

Classify Triangles

Angle Basics

Measuring Angles

• # Area and Perimeter

Posted by Bronwyn Chen on 2/17/2020

We are currently working on area and perimeter.

Students will learn and use the formulas this year.

Area = Length x Width

Perimeter = (2 x length) + (2 x width)

Here are some videos about area and perimeter:

Find the area of a composite triangle.

• # Relate Fractions to Decimals

Posted by Bronwyn Chen on 1/13/2020

In this unit, students will learn:

• the value of tenths and hundredths
• a number can be represented as both a fraction and a decimal (.1 =1/10 or .32 = 32/100)
• decimal notation (write numbers in standard form 0.62)
• comparisons are valid only when two decimals refer to the same whole
• Compare decimals using visual models and symbols.
• Add two fractions with unlike denominators of 10 and 100

Websites/Online Resources

Videos

• # Mixed Numbers: Adding & Subtracting

Posted by Bronwyn Chen on 12/9/2019

• # Adding & Subtracting Fractions

Posted by Bronwyn Chen on 11/12/2019

Essential Questions:

• How do adding and subtracting fractions help me in everyday life?
• How can I join fractions with like denominators?
• How can I separate fractions with like denominators?
• How can I convert a fraction greater than 1 into a mixed number?
• How can I add and subtract mixed numbers with like denominators?
• How can I represent unit fractions in a line plot?
• How can I add and subtract fractions found in a line plot?

In this unit, students will be able to:

• Join (compose) fractions of the same whole
• Separate (decompose) fractions of the same whole in various ways (e.g.
• Justify decompositions (e.g., by using a visual fraction model).
• Convert a fraction greater than one (formerly referred to as an improper fraction) into a sum of a whole number and a number less than one
• Add and subtract mixed numbers with like denominators using various strategies (e.g., replacing each number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction).
• Solve word problems involving addition and subtraction of fractions with like denominators (e.g., by using visual
fraction models and equations to represent the problem.

Videos

Here are some videos about adding and subtracting fractions with the same denominators.

• # Comparing Fractions

Posted by Bronwyn Chen on 11/7/2019

These videos will help with comparing and ordering fractions.

• # Equivalent Fractions

Posted by Bronwyn Chen on 10/28/2019

• # Common Denominators

Posted by Bronwyn Chen on 10/28/2019

Finding common denominators is very important when working with fractions. It helps us compare, add, and subtract fractions.

• # Simplifying Fractions

Posted by Bronwyn Chen on 10/28/2019

Here are some videos that walk you through finding the simplest form of a fraction.

• # Multiplication Unit Videos

Posted by Bronwyn Chen on 9/23/2019

Multiplication

The below videos show different strategies to solve multiplication problems.

Muliplicative Comparison Problem Examples:

This video does a great job explaining how to calculate partial products.

Multiplying using the Distributive Property / Expanded Form:

Multiplying using the Area Model:

Students can use Khan Academy video to help them improve their multiplication skills.