## Ellipsis Math 4

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 problem 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 session. Students receive weekly assignments which may take them 1 hour to 1.5 hours per week.

Many problems from various math competitions will be discussed as part of our active learning session. Students receive weekly assignments which may take them 1 hour to 1.5 hours per week.

## Topics Covered

**Fall semester**

Whole numbers, factors and multiples, primes, introduction to order of operation, the four operations of whole numbers, division and divisibility, basic counting principal, equivalent fractions, adding and subtracting fractions, mixed numbers, improper fractions, fraction of a set, graph and data, angles and lines, polygons, area and perimeter of square, rectangle, triangle and composite figures.

Sample problems:

**Annie, Buck, and Peter have a total of $1120. Peter has twice as much money as Buck. Buck has three times as much money as Annie. How much money does each one have?***(F_EM4_02, PS Operations)***There are four numbers less than 50 that have exactly three factors. The smallest of these numbers is 4. What are the other three?***(F_EM4_04, Primes, Factors, Multiples)***A farmer has 45 chickens and rabbits. There are 140 legs altogether. How many chickens does the farmer have? How many rabbits does the farmer have?***(F_EM4_07, PS Strategies)***Tom and Wendy have a total amount of $390. Wendy has 2 ¼ times as much money as Tom. How much more money does Wendy have than Tom?***(F_EM4_11, Fractions)***The figure below is made up of two squares and a circle. Find the total area of the shaded region if the area of the circle is 154 cm².***(F_EM4_14, Geometry)***Spring semester**

Decimals, operations with decimals, connecting decimals with fractions, measurements and conversions applications, time and calendar, symmetry, coordinate graph, graphing changes in quantities, algebraic thinking, patterns, ratio and rate, data analysis, counting and probability, and volume.

****Sample problems:

L + M + M = 21

M + M + M + L = 27

N + L = 14

What is N²? ______

**Justin cuts a 25 inches string into four pieces. Three of the pieces have lengths 11.59 inches, 4.43 inches, and 4.3 inches. What is the length of the fourth piece of string?***(S_EM4_03, Decimals)***The standard formula for making concrete mix calls for sand, gravel, and cement. You need twice as much sand as cement and twice as much gravel as sand. If I want to make 3500 pounds of concrete mix, how many pounds of cement do I need?***(S_EM4_05, Measurement)***Joey secures his bike with a lock that has a 4-digit combination. The problem is he cannot remember his combination, but he knows that all four digits are odd. How many possible combinations include only odd digits?***(S_EM4_08, Counting)*

*(S_EM4_11, Algebraic Thinking)*L + M + M = 21

M + M + M + L = 27

N + L = 14

What is N²? ______

**During a class election the ratio of students who voted for candidate A compared to candidate B was 2 : 1. If candidate A received 14 votes, what is the combined amount of votes candidate A and candidate B received?***(S_EM4_14, Ratio and Rate)*