Level 5 Math Enrichment Class


Grade: Level 5
CODE: GR5M-2023
Total hours: 40
Class Schedule: Wednesday 7:30 pm-8:45 pm
Duration: August 24 th 2022 – May ’11 th 2023


Grade 5 ,Course details

Unit 1: Operations with Parts of a Whole

  • Finding multiples, factors ,GCF and LCM
  • Equivalent fractions
  • Simplifying fractions
  • Comparing fractions
  • Add and subtract simple fractions
  • Real-world problems on add and subtract fractions
  • Multiply and divide simple fractions
  • Real-world problems

Unit 2: Operations with Mixed Fractions

  • Converting between improper fractions and mixed numbers
  • Add and subtract mixed fractions
  • Real-world problems

Unit 3: Ratios and Proportions

  • Introduction to Ratios, Rates, and Proportions
  • Write a proportion given a situation or figure
  • Using scale drawings to find dimensions
  • Solving the proportion

Unit 4: Percentages

  • Define Percent
  • Convert between Fractions, Decimals, and Percent’s
  • Compare Fractions, Decimals, and Percent’s
  • Find the percent of a number using equivalent fractions
  • Finding the percent of a number using proportions
  • Finding the percent of a number using multiplication of decimals
  • Discount, tax, markup calculations, real-world problems

Unit 5: Decimals

  • Naming decimal numbers
  • Rounding decimals to a given place value
  • Comparing and Ordering decimals
  • Expanded Form of a decimal number
  • Operations (add, subtract, multiply, divide) decimals
  • Real world problems with decimals
  • Order of Operations with fractions and decimals (mixed)
  • Order of Operations word problems with fractions and decimals (mixed)
  • Solve practical problems related to elapsed time in hours and minutes within a 24-hour period

Unit 6 : Integers

  • Understanding Integers and using the number line
  • Compare and Order Integers
  • Absolute value and opposite Integers
  • Adding Integers using a number line and rules
  • Subtracting Integers using the number Line and rules
  • Multiplying and dividing Integers
  • Writing and solving expressions, using Integers
  • Simplifying basic expressions including integers
  • Simplifying positive and negative exponents (Basic Concept)
  • Introduction to square roots (perfect squares)
  • Multiplication/division properties of exponents
  • Simplifying positive and negative exponents
  • Simplifying positive and negative exponents (with multiplication and division)
  • Converting between scientific notation and standard forms.
  • Order of Operations including integers
  • Writing and solving expressions using Integers

Unit 7: Basic Algebra

  • Variables and expressions, terms, and coefficients
  • Evaluate Expressions including exponents
  • Evaluating Expressions using given values (includes exponents)
  • Learning/Recognizing algebraic vocabulary; parts of an expression/equation
  • Writing algebraic expressions/equation from phrases
  • Writing algebraic expressions/equation from word problems
  • Simplifying expressions
  • Find the missing value (variable) of an equation.
  • Solving 1-step equation using the algebraic method
  • Setting up and solving 1-Step equations from word problems
  • Finding percent of a number using algebra (by multiplying by a decimal)
  • Using the distributive property
  • Setting up equation and solving word problems
  • Solve and graph in equalities
  • Relationship between dependent and independent variables

Unit 8: Probability and Statistics

  • Mean, Median, Mode, and Range
  • Line plots , dot plots , stem-leaf plots and pie charts
  • Probability of simple and multiple events
  • Independent and dependent events
  • Counting principle

Unit 9 : Geometry

  • Discovering a plane: plotting points on a plane, labeling the parts of a plane
  • Labeling circle
  • Parts of a circle (center, radius, diameter, chord, tangent line) , parts of a triangle
  • Area and perimeter of circles, triangles, and rectangles
  • Triangles: Properties of triangles, congruent triangles, similar triangles
    • Finding the measurement of a missing side
  • Pythagorean theorem
  • Recognizing and labeling a line, a line segment, and a ray
  • The student will investigate the sum of the interior angles in a triangle, quadrilateral and determine an unknown angle measure.
  • Recognize and apply transformations, such as translation, reflection, and rotation
  • Investigate and describe the results of combining and subdividing polygons
  • Complementary angles, Supplementary angles
  • Recognizing Cubes, Prisms
  • Finding the Surface area of a given 3-D figure
  • Finding the volume of a given 3-D figure
  • Transformations: Translation, Reflection, and Rotation