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Parallelograms: Properties, Diagonals, and Special Types

Demonstrate understanding of real numbers, represent them in multiple ways, and apply to solve problems

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Comparing and ordering rational numbers

Solving problems with rational numbers in decimal form

Solving problems with rational numbers in fraction form

Determine square roots of rational numbers

Using exponents to describe numbers

Exponent rules

Order of operations with exponents

Using exponents to solve problems

Squares and square roots

Estimating square roots

Explain and apply algebraic and arithmetic operations, derive and apply computational procedures

Using the pythagorean relationship

Applications of pythagorean theorem

Representing percents

Percents, fractions, and decimals

Percent of a number

Adding and multiplying percents

What is a polynomial?

Adding and subtracting decimals

Multiplying decimals

Dividing decimals

Order of operations (PEMDAS)

Polynomial components

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Model real-world problems using functions, equations, inequalities and discrete structures

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

Rate of change

Representing patterns in linear relations

Reading linear relation graphs

Solving linear equations by graphing

Solving linear equations using multiplication and division

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Understanding graphs of linear relationships

Understanding tables of values of linear relationships

Applications of linear relationships

Measure quantities indirectly using algebra, geometry, and trigonometry techniques

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface area of cylinders

Metric systems

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Extend spatial sense, interpret geometric figures, apply transformations and geometric properties

Introduction to bearings

Bearings and direction word problems

Angle of elevation and depression

Line symmetry

Rotational symmetry and transformations

Surface area of 3-dimensional shapes

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Triangles

Rectangles

Parallelograms

Understand sampling, construct data displays, use curve fitting, apply statistical measures

Upper and lower bound

Influencing factors in data collection

Data collection

Probability

Understanding the number systems

Prime factorization

Classification of data

Sampling methods

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

Bivariate, scatter plots and correlation

Census and bias

Design experiments to model probability problems, apply theoretical probability concepts

Intersection and union of 2 sets

Intersection and union of 3 sets

Evaluating and simplifying radicals

Greatest common factors (GCF)

Least common multiple (LCM)

Rational vs. Irrational numbers

Converting repeating decimals to fractions

Square and square roots

Cubic and cube roots

Converting radicals to mixed radicals

Converting radicals to entire radicals

Adding and subtracting radicals

Introduction to probability

Addition rule for "OR"

Multiplication rule for "AND"

Assignments

Challenge Zone

Foundation Review

Mathematics Essentials 10

Number Sense

Operations

Patterns and Relations

Measurement

Data Management

math

A clear explanation of parallelograms for geometry students: the definition, side and angle properties, diagonal relationships, symmetry, and how special parallelograms like rectangles, rhombi, and squares fit in, supported by worked examples.

Area and perimeter of parallelograms

Parallelograms | StudyPug

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Overview

Parallelogram Definition and Properties

What You'll Learn

Identify a parallelogram by its two pairs of parallel and congruent opposite sides.

Apply the rule that opposite angles in a parallelogram are always congruent.

Use the consecutive angles supplementary rule to find missing angle measures quickly.

Recognize that the diagonals of a parallelogram always bisect each other at their midpoint.

Compare special parallelograms such as rectangles, rhombi, and squares to a general parallelogram.

Solve algebraic problems involving unknown parallelogram side lengths, angles, and diagonal segments.

This Unit Includes

Learning resources