4-1 Divisibility and Factors – We learned to use divisibility tests to find factors. An integer is divisible by 2 if it ends in 0, 2, 4, 6, or 8. If an integer ends in 0 or 5 it is divisible by 5. If it ends in 0 it is divisible by 10. Then we learned that an integer is divisible by 3 if the sum of its digits is divisible by 3. Next, we learned that an integer is divisible by 9 if the sum of its digits is divisible by 9.
4-2 Exponents – We learned to use exponents and the order of operations with exponents. An exponent is a number placed to the upper right of a base number. Then we learned that if an exponent has as its base and expression involving addition or subtraction the whole expression must be written inside parentheses.
Assignment: Complete problems from 4-2 in workbook
3-6 Solving Equations by Multiplying or Dividing Decimals – We learned to solve 1-step decimal equations involving multiplication and division. Then we discovered the Division and Multiplication Properties of Equality are used to solve equations involving multiplication and division no matter what type of numbers they contain: integers, decimals, fractions, etc.
3-7 Using the Metric System – We learned to identify appropriate metric measures to convert to metric units. Then we learned that nearly all the countries of the world use the metric system for measurement. The meter is defined as the distance a certain wavelength of light travels in a certain fraction of a second. The kilogram is defined as the mass of a certain platinum-iridium sphere that is kept in France. A liter is 1000 cm³ or 1 cubic decimeter.
3-4 Using formulas for Guided Problem Solving – We learned that a formula is an open sentence equation that shows a relationship between variables. Then we discovered that we use formulas to relate quantities in the real world. Next, we learned that you cannot use a formula to find the value of a variable unless the values of all the other variables in the formula are known.
Assignment: Complete problems from 3-4 in workbook
3-5 Solving Equations by Adding or Subtracting Decimals – We learned to solve one-step decimal equations involving addition and subtraction. Then we discovered that the subtraction and addition properties of equality are used to solve equations involving addition and subtraction no matter what type of numbers they contain: integers, decimals, fractions, etc.
Assignment: Complete problems from 3-5 in workbook
3-3 Mean, Median, and Mode – We learned how to find the mean, median, mode, and range of a set of data. Then we discovered that these numbers give information about the data. Next, we learned how to choose the best measure of central tendency which is the approximate center of a distribution of numbers in a set.
3-1 Rounding and Estimating – We learned to round decimals and estimate sums and differences. We learned that with front end estimation we add the numbers in the leftmost place, round the numbers after the decimal and add the results. Then we learned how to perform estimating by clustering.
3-2 Estimating Decimal Products and Quotients – We learned that rounding is an important step in estimating products. Then we learned that estimating the answer can help you recognize unreasonable answers. Next, we learned that estimating is often used in real-world problem solving.
3-3 Mean, Median, and Mode – We learned to read a table to extract the needed information or data. We added definitions for the mean, median, mode, and range of a set of data to our math journal.
Assignment: Complete problems from 3-3 in textbook.
Chapter 2 Solving One-Step Equations and Inequalities
Lesson Outline
2-10 Solving One-Step Inequalities by Multiplying or Dividing – We completed the homework using the multiplication and division properties of inequality to solve inequalities. Then we practiced removing the coefficients by multiplying by the reciprocal.
Assignment: Complete problems assigned for homework.
Chapter 2 Solving One-Step Equations and Inequalities
Lesson Outline
2-10 Solving One-Step Inequalities by Multiplying or Dividing – We learned to use the multiplication and division properties of inequality to solve inequalities. Then we learned that when you multiply or divide each side of an inequality by a negative number, you must reverse the direction of the inequality symbol.
Assignment: Complete problems assigned for homework.
Chapter 2 Solving One-Step Equations and Inequalities
Lesson Outline
2-9 Solving One-Step Inequalities by Adding or Subtracting – We learned that the addition and subtraction properties of equality used to solve equations can be extended to solve inequalities.
Assignment: Complete problems assigned for homework.