This is the first semester of the fourth 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:
Numbers to 100,000 – Interpret 5-digit numbers in terms of ten thousands, thousands, hundreds, tens and ones. Read and write 5-digit numbers and corresponding number words. Relate each digit in a 5-digit number to its place value. Count on or back by 1, 10, 100, 1000 or 10,000. Recognize number patterns involving counting on or back by ones, tens, hundreds and/or thousands. Determine the scale of a number line and locate 4-digit and 5-digit numbers on a number line. Compare and order numbers within 10,000. Review mental math strategies for addition and subtraction of numbers of up to 2-digits. Add and subtract thousands and ten thousands. Multiply and divide thousands and ten thousands by 1-digit numbers.
Rounding and Estimating – Round whole numbers to the nearest ten. Estimate the location of numbers on a number line marked in tens. Round whole numbers to the nearest hundred. Estimate the location of numbers on a number line marked in hundreds. Estimate the answer in addition and subtraction problems.
Factors – Understand factors using rectangular arrays. Determine if a 1-digit number is a factor of a given whole number by using division. Learn rules of divisibility for 2, 3, 4, 5, 6, 9 and 10. List the factors of a given whole number up to 100. Find common factors of 2-digit numbers. Find the greatest common factor of 2-digit numbers.
Multiples – Understand the concept of multiples. Relate factor to multiples. Determine if a whole number is a multiple of a 1-digit number. List the multiples of a 1-digit number. Relate the divisibility rules to multiples. Find common multiples. Find the lowest common multiple.
Multiplication and Division of Whole Numbers – Multiply a 4-digit number by a 1-digit number and estimate the product. Divide a 4-digit number by a 1-digit number and estimate the product. Divide by 10. Use pictorial models (part-whole and comparison models). Multiply by tens, hundreds, and thousands. Multiply by a 2-digit number and estimate the product. Multiply by a 3-digit number and estimate the product. Solve word problems of up to 3 steps.
Equivalent Fractions – Recognize and name equivalent fractions. Find equivalent fractions using fraction bars. Find equivalent fractions using multiplication. Find equivalent fractions using division. Find the simplest form of a fraction. Compare and order simple fractions.
Adding and Subtracting Related Fractions – Add related fractions. Subtract related fractions. Give answers in simplest form.
Mixed Numbers – Understand and write mixed numbers. Read and interpret number lines with mixed numbers. Order mixed numbers. Add a fraction less than one to a whole number. Subtract a fraction less than one from a whole number.
Improper Fractions – Interpret improper fractions as multiples of unit fractions. Define improper fractions as a fraction whose numerator is equal to or greater than the denominator. Convert an improper fraction to a mixed number. Convert a mixed number to an improper fraction. Add and subtract fractions involving mixed numbers.
Fraction of a Set – Understand fractions of a set of objects. Find the number of objects in a fraction of a set. Multiply a fraction by a whole number where the product is a whole number. Multiply a fraction by a whole number where the product is not a whole number. Relate fractions to units in a part-whole diagram. Express a part as a fraction of a whole. Determine the whole or the remaining part from the value of a fractional part of the whole. Solve word problems involving fractions of a set.
Fraction Word Problems – Apply knowledge of fractions to solve word problems involving equivalent fractions, addition and subtraction of fractions, simplest form and fractions of a set.
Tables and Graphs – Read and interpret data presented in a table or bar graph. Construct a bar graph from data given in a table. Construct a table from data given in a bar graph. Solve problems using data in a bar graph or a table.
Measuring Angles – Understand the use of degrees for measuring angles. Recognize right angles as 90o. Measure angles less than 180o. Construct angles less than 180o. Recognize angles of 180o, 270o, and 360o. Estimate the measure of angles greater than 180o. Construct angles greater than 180o. Find unknown (complementary of supplementary) angles.
Perpendicular and Parallel Lines – Recognize perpendicular lines. Construct perpendicular lines. Recognize parallel lines. Construct parallel lines.
Area and Perimeter – Review area and perimeter of rectilinear figures. Find one dimension of a rectangle given its perimeter and the other dimension. Find one dimension of a rectangle given its area and the other dimension. Find the perimeter of a figure made up of rectangles and squares. Find the area of a figure made up of rectangles and squares. Find the area of a path around a rectangle.
Area and Perimeter Word Problems – Apply knowledge of Area and Perimeter to solve word problems.
End-of-Semester Review – Cumulative review of topics covered in 4A.