This is the second semester of the fifth grade curriculum. This course contains 18 lessons and meets for 2 hours per week. Tuition cost: $50.00 USD per student-class-week.
Concepts taught are:
Decimals: Approximation and Estimation – Review decimal numbers and fractions. Round decimal numbers to two decimal places. Review dividing a decimal number by a whole number. Divide a decimal number by a 1-digit whole number and round the quotient to two decimal places. Express a fraction as a decimal number correct to two decimal places.
Decimals: Multiplication and Division by Tens, Hundreds, or Thousands – Multiply or divide a decimal number by tens, hundreds or thousands.
Decimals: Multiplying by a 2-Digit Whole Number – Estimate the product in multiplication of decimal numbers. Multiply a decimal number of up to 2 decimal places by a 2-digit whole number.
Decimals: Conversion of Measurements – Convert a measurement in a decimal number to a smaller unit. Convert a measurement in a decimal number to a compound unit. Convert a measurement smaller than the conversion factor to a larger unit. Convert a measurement greater than the conversion factor to a larger unit.
Decimals: Word Problems – Solve word problem involving decimals.
Percentage – Understand percentage. Express a fraction with a denominator of 10 or 100 as a percentage. Express a decimal number as a percentage. Express a percentage as a decimal number. Express a percentage as a fraction in simplest form.
Writing Fractions as a Percentage – Express a fraction as a percentage. Express a fraction with a denominator that is a multiple of 100 as a percentage. Solve word problems which involve finding the percentage for a part of a whole.
Percentage of a Quantity – Find the value of a percentage part when given the whole. Solve word problems which involve finding the value for a percentage part of a whole. Solve word problems which involve interest rates or percent discounts. Solve word problems which involve percent increase or decrease.
Average – Understand average. Find the average of a set of data. Find the average when given the total amount and the number of items. Find the total when given the average and the number of items. Multiply in compound units. Solve problems that involve averages of compound units of measurement. Find the average of a set of data that involve measurement in compound units. Solve word problems that involve averages.
Rate – Understand rate as one quantity per unit of another quantity. Find a total quantity when given the relationship of the different units. Draw line diagrams for rate problems. Use an arrow to show the relationship between two quantities in a rate problem. Solve word problems involving a given rate. Solve word problems of up to 3-steps that involve rate. Solve problems using rate tables.
Graphs – Understand the relationship between data in a table and the data in a line graph. Read and interpret data in a line graph. Solve problems using data in a line graph. Construct a line graph. Understand and use conversion graphs.
Triangles – Recognize that the sum of the angles of a triangle is 180o. Find the unknown angle of a triangle when given the other two angle3s. Recognize that the sum of the angles opposite a right angle of a triangle is 90o. Find the unknown angle of a right triangle when the other angle is given. Recognize that the exterior angle of a triangle is equal to the sum of the opposite interior angles. Find an unknown angle in problems involving exterior angles of a triangle. Explore angle and side properties of isosceles and equilateral triangles. Find unknown angles in isosceles and equilateral triangles. Find an unknown angle from the angle properties of triangles.
Four-Sided Figures (Parallelograms, Rhombuses, and Trapezoids) – Investigate properties of parallelograms, rhombuses, and trapezoids. Recognize that opposite angles of a parallelogram are equal and that the sum of the angles between parallel sides is 180o. Recognize that a diagonal bisects a rhombus (or square) into equilateral triangles. Find Unknown angles in problems involving trapezoids and triangles.
Geometric Constructions (Triangles, parallelograms, rhombuses, and trapezoids) – Construct a triangle when given the measurement of two angles and the included side. Construct a triangle when given two sides and their included angle. Construct a rectangle when given its length and width. Construct a parallelogram when given the measurements of two adjacent sides and an angle. Construct a rhombus when given the measurements of one side and one angle.
Volume – Find the volume of solids made from unit cubes. Find the side of a cube when given its volume. Find one dimension of a cuboid if given its volume and other two dimensions or the area of a face. Review the equivalency of one liter with 1,000 cm3. Find a height of water in rectangular-based containers when given the volume of water in liters and the length and width of the base. Solve word problems of up to 2-step involving volume. Recognize that the volume of the liquid displaced by a solid is equal to the volume of the solid. Solve word problems of up to two-steps involving the displacement of a liquid by a solid
Tessellations – Understand tessellation. Identify the shape used in a tessellation. Draw a tessellation on dot paper. Determine whether a shape can tessellate. Explore properties of shapes that can tessellate. Make different tessellations with a given shape. Make shapes that can tessellate.
End-of-Year Review – Cumulative review of topics covered in 5A and 5B.