## Ellipsis Math 5

Watch your child develop a love for mathematics while building important critical thinking and problem solving skills. We balance our curriculum with rigorous practices, strategy development in multi-step problems solving, and early exposure to logic problems.

In both semesters, students will be exposed to multi-step problem solving strategies (draw a diagram, working backward, making an organized list, etc.). Many problems from various math competitions will be discussed as part of our active learning as a group. Students receive weekly assignments which may take them 1 hour to 2 hours per week.

In both semesters, students will be exposed to multi-step problem solving strategies (draw a diagram, working backward, making an organized list, etc.). Many problems from various math competitions will be discussed as part of our active learning as a group. Students receive weekly assignments which may take them 1 hour to 2 hours per week.

## Topics Covered

**Fall semester**

Whole numbers, Fractions, Decimals, Percent, Ratio, Rate, Speed, Angles, Geometry (Polygons, Angles, Circle, Surface Area, Volume). Within these topics, we cover applications involving factors and multiples, order of operations, multiplication and division patterns, mental math calculation, multi-steps operations with whole numbers, operation with fractions and decimals, perimeter, area, and surface area, as well as study of angles.

Sample problems:

*(F**_EM5**_03***Leisha is 5 ¼ inches taller than Jenna. The sum of Leisha’s and Jenna’s heights is 101 inches. How many inches tall is Leisha?***, Fractions)***A refrigerator was sold at a discount of 12%. Its original price was $900. How much was the discounted price?***(F_EM5_06, Percent)***Eric started biking at 6:30 a.m. and by 7:50 a.m., he had biked for 24 km. What is Eric’s biking speed in meters per minutes?***(F_EM5_09, Speed)***The figure is made up of 3 squares and a semicircle of diameter 36 inches. O is the center of the semicircle. Find the perimeter of the figure. (Take**

*(F_EM5_13, Circles)***π**= 3.14). Show your work.

**A container has regular pentagon bases. The area of triangle A is 182 cm2 and triangle B is 321 cm2. The height of the container is 50 cm. Find the volume of the container.**

*(F_EM5_15, Volume)***Spring semester**

Data Analysis, Graphs, Venn Diagram, Statistics, Counting Principles, Permutations and Combinations, Probability, Primes and Factors, and Integers. Within these topics, we continue working with operations involving decimals, percent, connecting fraction with decimals and percentage, and algebraic expressions.

Sample problems:

******Ron has 7 cards, which are 17, 13, 19, 11, A, B, and C. The unknown cards (A, B, and C) will increase the mean by 5. The mode of the data is 22. Find A, B, and C.****(S_EM5_02, Data Stat)****The bar graph below shows the times taken by 5 runners to complete a race. What is the mean time taken by the 5 runners?***(S_EM5_03, Data and Graph)*****

**How many different ways can four books be arranged on a shelf if they are selected from eight books?**

**(S_EM5_06, Counting Principal)****The age of each Mrs. Math's three daughters is an integer. The sum of these integers equals to 12, and their product is 30. How old is each of Mrs. Math 's daughters? Show your work.**

*(S_EM5_10, Prime Factors)*