5th Grade Math Enrichment

5th Grade Math Enrichment Overview

You’ve got the computation basics — time to move more efficiently, add a clever twist or two — and maybe even a few short cuts. If you’re multiplying two numbers and one has more digits — should you put it on top — or the bottom? How about if one number ends in zeros — top or bottom? Ready for division with three digit numbers?

Now that you’ve worked with fractions — can you apply your knowledge to solve some real world problems? If you multiply fractions do they get bigger or smaller? How do you convert a fraction into a decimal — or a decimal into a fraction? What happens if you multiply two negative numbers? If you add them? If you’re 110 centimeters high –are you tall? Can you calculate the number of inches in a mile?

Who: Recommended for incoming 5th grade students who are seeking additional challenge

The SelectivePrep 5th Grade Math Enrichment Program

  • Is offered in a 5 day session (one week long), Monday through Friday and is 3 hours per session or 15 hours in total
  • Limits class size to 20 students
  • Includes hands-on workshops and exercises where students get additional practice — and have fun.

Cost: $350 for a week long session

Schedule: Registration for our Summer Math Programs will begin in April 2017 and classes will run in August 2017. Please contact us if you have any questions.

Program Format

Each session is divided into three parts:

Concept Review. Students will interactively work through problems in each topic area to ensure that the concepts are well understood.

Application. Students will apply concepts in real life simulations or word problems to gain practical experience.

Game/Contest. Students work through challenge questions and compete for prizes, either in teams or individually.

5th Grade Math Enrichment Program Syllabus

Session 1: Multiplication and Division Review

Estimation & Rounding (e.g., 32 × 77, 2,058 ÷ 42)

Rules of Divisibility (e.g., three “easy” rules, three “cool” ones & one “ultra-cool” rule)

Addition & Multiplication Shortcuts (e.g., multiplication & division with 2 and 3 digit numbers)

Remainders (e.g., what is the 437th term in qrstqrstqrst…?)

Game/Exercise: Jeopardy game that emphasizes computation speed and accuracy

Session 2: Decimal Concept Review

Adding, subtracting, multiplying & dividing decimals (e.g., 783 – 17.12321, .008 × .16, 16 ÷ .008)

Place value (e.g., in the number 37.98989, what digit is in the ten thousandths place?)

Multiplying & dividing by powers of 10 (e.g., 941 ÷ 100, .0228 × 1,000)

Scientific notation (e.g., express 9,745,000 or .000345 in scientific notation)

Application: Word problems with decimals (e.g., A 240 pound carton of food is made of cans of tuna fish. How many cans of tuna fish are in the carton?)

Game/Exercise: Decimal Jeopardy

Session 3: Fraction Concept Review

Adding, subtracting, multiplying & dividing fractions (e.g., 2⁄3 + 3⁄4 + 5⁄6, 8⁄9 ÷ 5⁄6)

Mixed number skills (e.g., 12 1⁄3 – 3 7⁄8, 6 3⁄5 × 2 8⁄11)

Relationship between fractions & decimals (e.g.,how can .16 be expressed as a fraction?)

Application: Word problems with fractions (e.g., A freight elevator can hold a maximum of 600 pounds. there are already two cartons on the elevator. One weighs 153 7⁄8 lb. and the other weights 311 2⁄3 lb. Joe wants to put a carton on the elevator that weighs X lb. What is the maximum value of X?

Game/Exercise: Fraction Jeopardy

Sessoin 4: Units of Measurement Review

Introduction to Metric & American Units (e.g., how many feet are there in a quarter mile? how many inches?)

Length, area & volume (e.g., if an ant walks 15 cm each second, how many meters does the ant walk in a minute?)

Weight, liquid volume & temperature (e.g., if an elephant weighs 2½ tons, how many pounds does the elephant weigh?)

Other number systems (e.g., how is the number 17 written in base 2?, how is the year 2014 written in Roman numerals?)

Application: Word problems with units of measurement (e.g., fencing costs $2.70 per yard. Jane wants to fence in her vegetable garden which is 20 ft. long and 8 ft. wide. How much will it cost?)

Game/Exercise: Units of measurement Jeopardy game

Session 5: The Number Line & Coordinate Plane

Positive & negative numbers on the number line (e.g. plot the points (-8) and (-2¼) on the number line. How far apart are these points?)

Properties of negative numbers (e.g., what is the value of (-5) – (-3)?, what is the value of (-5) + (-3), what is the value of (-5) × (-3)?)

Graphing points (e.g., starting from point (8,6), Joe walks 7 units down and 7 units to the left. Where is Joe? Which quadrant is he in?

Working with scale (e.g., if a map has one mile = ½ inch, how many inches is a town that is 8 miles away?)

Application: Word problems with coordinate geometry (e.g., if two adjacent vertices of a square are located at (-2, 3) and (3,3), find the coordinates of all possible other vertices of the square)

Game/Exercise: Final Jeopardy — a contest that reviews the week’s topics